The enigmatic Swede departed Old Trafford in March after agreeing to the mutual termination of his contract.
Fitness issues had prevented him from making the desired impact during a second spell with the Red Devils, with a short-term deal having been handed to him after a knee injury cut short a 2016-17 campaign which had delivered 28 goals and three trophies.
Ibrahimovic opted to head for America after being freed from his commitments in England, but he admits to still keeping a close eye on FA Cup finalists United and the many friends he left behind.
In a video message posted on the club’s official Twitter account, the 36-year-old frontman said: "I see you are doing well. You made it to the [FA Cup] final, which I like a lot even if I am not there.
"Here, everything is okay. I enjoy the sun every day.
"I want to say to all the fans: 'I miss you, I miss playing at Old Trafford and seeing all the red shirts'. I have great memories from there.
"I want to thank everybody for the push, adrenaline and energy you gave me. I want to thank my team-mates also because you have been fantastic and you made it easy for me.
"Coach [Mourinho], I miss you also. You know what you need to do to win. There is no secret behind that."
Ibrahimovic also expressed his support for David de Gea in United’s end of season awards, with the Spanish goalkeeper having made history by claiming a fourth Player of the Year gong.
He added: "Even if a goalkeeper shouldn't win player of the year, but he has had a fantastic year.
“He continues that high level of performance.”
De Gea took the top prize at a glitzy ceremony in Manchester in Tuesday, with another Sir Matt Busby Player of the Year prize taking him clear of Cristiano Ronaldo on United’s roll of honour.