Rodgers said on Thursday that the Scottish champions "were always on the lookout for a really aggressive number eight to play midfield".
Dembele was omitted from the Celtic squad which beat FK Suduva in a Europa League qualifier on Thursday.
And afterwards, Dembele posted on his social media page, a meme with the caption: 'A man, without his word, is nothing.
"I'm sure Jon and Alfredo will apologise to their team-mates but in terms of the nine men who were there from start to finish, I haven't got words to describe them".
Rodgers, who signed Odsonne Edouard from Paris Saint-Germain for a club record £9 million fee in the summer, last night reiterated that he needed to bring in a replacement before Dembele can be allowed to leave.
Gerrard takes his Rangers side to Celtic Park on Sunday in search of a confidence-boosting win over Rodgers' Celtic in a game that will be shown live on Sky Sports in the UK. "The club has had a significant offer, it's been ongoing for a couple of days and we've taken Moussa out of it".
Wednesday fans had plenty to add too, with Matt Surgeon writing: "He's injured mate and has been for several months.we need him more than the Hoops.Sooner he's back playing for Wednesday the better." and John Callaghan adding: "Sorry no chance, going to be banging em in for Wednesday next month". We understand where it is at and we understand the offer is significant but it is no good for us. It has to work for both. "There's not a huge list of players that can come in and offer the qualities Moussa gives us".