Cavani's contract at Old Trafford expires this summer and he will be leaving as a free agent.
The 35-year-old joined the Red Devils from Paris Saint Germain in the summer of 2020 and proved to be a revelation in his first season, scoring 17 goals in 39 appearances across all competitions as Manchester United finished in second position in the league.
The 2021/2022 campaign proved to be a challenging one for Cavani on a personal front and the club in general, as the Uruguay struggled with injuries and scored only two goals in 20 appearances while United finished sixth on the table.
Cavani reckons his second season in England did not go according to plan but is nonetheless grateful for the support during his time at the club.
“I wanted to contribute more this season,” the striker told the club's website.
“One of the things that has left me with a slightly bitter taste is that when we had a highly enjoyable and pretty decent [2020/21] season, we weren’t able to have the supporters along with us.
“And now, this season, with the fans coming back into the grounds and stadiums, I haven’t really been able to have the kind of campaign, if I’m being honest, on a personal front that I would really have liked.
"Where I would have been able to score the kind of goals I did last season, and then be celebrating them a bit more with the fans - the kind of stuff that it’s great for a forward or a striker to be doing.
“But I want to sincerely thank the fans from the bottom of my heart, because they have always shown me a lot of affection, and that is very important for a footballer."
He added: “I sincerely have nothing but words of gratitude towards the fans and supporters of Manchester United.
“Honestly, they have shown me a lot of respect from the very first moment I arrived. I think they’ve greatly recognised all the hard work I’ve always tried to put in in the best way possible, giving my best for this team.
“I really am very grateful, and I’ll be leaving here with a happy memory of that affection they showed me and always displayed.”