The former Manchester United and Everton star was relieved of his duties after a 1-0 loss to New York Red Bulls left Miami bottom of the MLS Eastern Conference.
Neville was close with the owners, but it proved insufficient as former club team-mate David Beckham pulled the trigger on his axing.
However, Neville is still thankful to Beckham and the other owners of the club for giving him the opportunity to manage the MLS side.
He wrote on Instagram: “Thank You.
“I would like to take this opportunity to thank everyone involved with Inter Miami CF.
“To the owners – David, Jorge [Mas Canosa], Jose [Mas] thank you for the support and opportunity to manage this great club.
“Thank you to all my staff for their unwavering loyalty.
“To all the players I have managed during my time here – thank you for your incredible efforts and for being the best people to work with.
“Finally, to the fans – thank you for your amazing support as always.
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“I am immensely proud of the work that we all have done creating a culture of hard work and spirit.
“Also, having the courage to give opportunities to the incredibly talented group of young players we have developed during my time here.
“I will always have Inter Miami CF in my heart.”
Miami announced the former England International’s departure midway through his third season in charge with a blunt social media message on Thursday night.
Supporters held up signs calling for Neville’s sacking following the dire midweek defeat – and even booed his son Harvey.
The ex-Lionesses‘ chief, 46, was unveiled by Miami owner Becks in January 2021.
But although they reached the MLS Cup play-offs last season, Nev’s men have struggled from the start this campaign.
Miami have picked up just five wins and 15 points in the Eastern Conference.