The Northern Irishman, who led the Hoops to consecutive domestic trebles, joined English Premier League side Leicester City yesterday, agreeing a deal until June 2022.
Celtic fans have slated the former Liverpool boss for leaving the club before the end of the season.
And a section of the travelling support in the away end at Tynecastle tonight made their feelings felt by unveiling a banner ahead of kick-off in Celtic’s Ladbrokes Premiership clash with Hearts.
The banner read: “You traded immortality for mediocrity. Never a Celt. Always a fraud.”
Rodgers paid tribute to the Celtic fans following the completion of his move to the King Power Stadium, saying in a statement: “I have been a Celtic supporter all my life and the reason I came to Glasgow was to work for the club I had such love and affection for.
“From the moment I walked into Celtic Park I have been living my dream and, together with the players, staff and supporters, we have been on an amazing journey, which I will never forget.
“Celtic is in great hands for the future and I am sure the club is in a wonderful position to continue to dominate Scottish football and do well in Europe, I know that will be the aim of everyone at the club.
“Celtic will always be my club and I wish everyone connected to Celtic - the Board of Directors, the staff and, of course, the Celtic supporters - every success in the future.”