According to US media reports Sheen has contacted his former employers at Warner Bros to investigate whether he can be a part of the show's final episode.

That episode, the 12th season finale, is scheduled to air in the US in the second quarter of 2015.

It's an ambitious idea: his character Charlie Harper was killed off in the series. Though not seen on screen, he was struck and killed by a moving train.

He was replaced by actor Ashton Kutcher, who plays billionaire Walden Schmidt. In the show, Schmidt purchased Harper's house after his death.

"I've reached out to them and they've reached back," Sheen told US media. "We're trying to figure out what makes the most sense.

"If they figure it out like I've presented it to them and they want to include me in some final send-off, I'm available and I'm showing up early. If not, it's on them."

Sheen said a return to the series for its final episode would be a gesture of "good will and a tip of the hat to the fans."

In truth, however, Sheen has to overcome more than simply having been killed off in the series.

When he was sacked from the show, after a very public exchange with the show's creator Chuck Lorre and the studio which produces it, Warner Bros, there was a succession of lawsuits.

Sheen noted that he and Lorre have not "personally" made their peace.

"At the end of the day, the guy's a genius," Sheen said. "Look at what he does. I don't have to spend time with him anymore for him to be brilliant. I wish him nothing but the best."

Since leaving Two and a Half Men, Sheen has become the star of another sitcom, Anger Management.

That project was produced for the FX network on an unusual "10/90" funding model, in which 10 episodes are commissioned and if they are successful an additional 90 are ordered.

To date 87 of the 100 episodes ordered by FX have been filmed.