The West Midlands side, who were relegated from the Premier League last season, are in danger of dropping into League One due to their third-from-bottom position in the league table.
"If you want me to go, I'll go," Morgan told the club's Fans Parliament today. "If they want to drive me out of the club I will go. If it gets to the point where I feel I am not wanted I will go, simple as that.
"But, if that day comes, it won't be for the want of trying or effort. The last 18 months have been crap. But do I regret coming here? No. Is the job too much for me? No. What's my exit plan? I don't have one. I am fully committed to this football club and I want exactly the same as you want."
Wolves have not picked up a win in their last 11 fixtures.