Morgan and chief executive Jez Moxey have both come under fire as a miserable 18 months for Wanderers shows no signs of letting up, with a protest planned by some fans at Molineux ahead of Friday night's home clash against Watford.
Having finished bottom of the Premier League last season, the club, who have been under four different managers in the space of a year, currently find themselves in the Championship's relegation zone for the first time since 1999.
But Morgan has spoken of the personal hurt he is also currently going through, along with supporters, as Wolves struggle at the wrong end of the second tier having ploughed millions into Molineux since his takeover in 2007.
Speaking at a Fans' Parliament meeting on Wednesday night, he said: "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."
Morgan added: "I am fully committed to this football club and I want exactly the same as you want. I am not here for any other reason than to try and make the club successful."