In 1997 Glenn Danzig made the following statement to MTV, "A while ago I met with 20th Century Fox about this role, and they told me that the role of Wolverine was indeed probably going to be gritty, although they didn't know about the other characters, and I didn't really care about the other characters.  At that time, Richard Donner was the executive producer. I think now Bryan Singer is going to direct, so we'll see. If Bryan Singer directs, the guy who did 'Usual Suspects,' it could be pretty good.".  It was also metioned that as far as Glenn knew the only other actor he heard mentioned for the part at that time was, Jean-Claude Van Damme.  Leading to years of, "They should have used Glenn." and "He turned it down because of touring with Danzig.".

In 2010, Marvel-Movies.wikia posted this entry;
"Musician Glenn Danzig, whose muscular physique and height (5'4") almost perfectly matched the Wolverine character portrayed in the comic books, was interviewed for the role of Wolverine. A common myth has it that he was offered a part in the movie, but this confusion occurs largely because Danzig was actually offered the role some ten years earlier - when Carolco held the rights to an X-Men film and was considering a low-budget production.", although this seems to be largely conjecture on whoever wrote the blurb.

The history of the effort to get the X-Men on the big screen goes back to at least 1984 but let's skip all that and fast forward to 1994 when producer, Lauren Donner, acquired the film rights for 20th Century Fox.  The studio had seen the franchise potential based on the animated X-Men series which they had been producing since 1992 thanks in large part to the head of Fox Children's Network programming, Margaret Loesch; she was a huge supporter of an earlier X-Men animated pilot titled Pryde of the X-Men (1989).

Prior to Bryan Singer landing in the director's chair, Brett Ratner was considered for director as well as Robert Rodriquez; he had actually been offered the role but turned it down.  According to Singer, he approached Patrick Stewart about playing Professor X when he visited him on the set of Conspiracy Theory in 1997 placing his involvement as director to at least that year; Stewart would go on to do several projects prior to committing to X-Men.

20th Century Fox's answer for casting Wolverine were rumored to include Mel Gibson, Aaron Eckhart, Jean-Claude Van Damme, Viggo Mortensen and Edward Norton; with Keanu Reeves and Gary Sinise as the studio's preferred choices.

Bryan Singer's top choices were Dougray Scott (he signed onto the project around May 1999) and Russell Crowe; Dougray's commitment to Mission Impossible II would run long with reshoots (reportedly a motorcycle accident was also involved) and Crowe chose to persue other projects[Proof of Life (2000) and A Beautiful Mind (2001)].  Crowe didn't leave the production empty handed though and had previously mentioned fellow Australian actor Hugh Jackman for the role.  The interesting thing to note here is the height range of all these potential choices, the shortest at 5'9" (Gary Sinise) and tallest 6'1" (Keanu Reeves), with the rest all running around 6 foot.  Glenn's height is said to be 5'3", Bob Hoskins, who at one point (1990) was attached to the role of Wolverine even tops that by a few inches at 5'6".  With Dougray Scott still a no-show 3 weeks into filming, the role was finally given to Jackman (September 22, 1999).

According to a 2017 Hollywood Reporter interview with writer David Hayter, "Glenn Danzig came in for Wolverine, because he's a Wolverine fanatic. And because I was answering phones right at the front, people would come right through where my office was."

In a separate interview with Cinelinx.com (2014) Hayter also recounts how he ended up getting into screenwriting, "It’s a very long story. Basically I had produced and starred in a little film called Burn back in 1997-1998 and my friend Bryan Singer executive produced it. We had a deal to distribute Burn and that fell through. Then I was just a broke film producer and Bryan kindly gave me a job answering phones on the movie X-Men. I was a fan of the comic book, and I just started talking to him about the script and I said “Why don’t you have a scene in which such-and-such happens.” And he said “Yeah, go write that for me.” I figured he was kidding, but he wasn’t, and he started having me rewrite the film extensively. I did about 13 months of work on it, and ended up getting sole writing credit, and suddenly I was a big-time screenwriter. It was the craziest, lightning-in-a-bottle story you could possibly imagine. It changed my life instantly."

During an interview with LA Weekly (2012) Glenn Danzig had this to say about the role of Wolverine and his portrayal of the character had he landed the role, "It wouldn't have been as gay. Actually, he wasn't the first choice. They hired Dougray Scott. He had a falling out with the director, and then they hired Hugh Jackman. I'm glad I didn't do it. It was terrible.".  Writer David Hayter seemed to somewhat echo Glenn's thoughts (although more eloquently) on the role in a 2017 interview with Hollywood Reporter, "We wrote him very tough. Very edgy, and then Hugh brought his humanity to it. In the end, there's a core of steel there he brought to it that made it into a full person. Wolverine could be a caricature. He could be a growling asshole, really. I think it was the balance.".

What does all this mean?  Given the fact that writer David Hayter corroborates Glenn's account of meeting with 20th Century Fox it was definitely for what became the 2000 film.  Although he also states that he was answering phones prior to his 13 month involvement in writing the script so Glenn's audition at latest was probably mid-1998; Danzig wouldn't tour until mid-late 1999 which did overlap with the shooting of the film but Glenn probably wouldn't have even had those tour dates scheduled at that point.  It also isn't made clear just why Glenn auditioned, was he invited by a producer or casting director or did he (his agent) arrange the audition?  Given the fact that all the actors on 20th Century Fox and Bryan Singers lists had extensive acting credits it isn't likely that they would have sought out Glenn; whom at that point had only been in The Prophecy II (for all of 3 secs of acting time) and the Danzig home videos and various Danzig music videos.  Hugh Jackman was probably the least experienced although he'd been acting in tv/films since 1994 and he wasn't even a top contender for the role; he just ended up being the guy that was interested and had no other commmitments.  Age wise Glenn tied with Gary Sinise, both born in 1955 but again Sinise had acting experience (having begun his tv/film acting career in 1978); the youngest actor considered was Ed Norton (born in 1969), with all the other actors birth years falling between those dates.  In the end it can safely be surmised that an X-Men movie starring Glenn Danzig as Wolverine was never on the table and Glenn's touring schedule had nothing to do with him not appearing in the role.