West Ham were reportedly interested in taking Rodgers from Celtic, and sounded him out over a potential move to the London Stadium.
However, a return to England is not interesting Rodgers at present, with the Northern Irish boss loving life at Celtic.
West Ham went on to appoint Moyes, and that move has not been greeted positively.
West Ham fans have accused the board of showing a lack of ambition by going for Moyes.
The Scottish boss is yet to taste victory since taking charge at West Ham, after failing to win either of his first two games in charge.
Rodgers, meanwhile, has delivered another trophy to Celtic, after the Bhoys won the Scottish League Cup at the weekend.
Rodgers has now won all four domestic trophies available to him, since taking the Celtic job at the start of the 2016 campaign.