Suarez - who has been the subject of an offer from Arsenal - once again indicated he wanted to leave the club to play Champions League football in an interview on Tuesday and insists he was promised he could do as such.
Rodgers has been left disappointed by the Uruguayan's lack of appreciation for the support shown to him by the Merseyside outfit, and has reportedly ordered Suarez to train alone for the foreseeable.
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"I think Luis knows the support he's had at the football club and that's something that's been unswerving throughout the whole of last season.
"Obviously the remarks I've read are bitterly disappointing - but my job is bigger than that. My job is to fight and protect the club. The conversations I've had with him, he knows I've had and they will remain private.
"I will take strong, decisive action, absolutely. There has been total disrespect of the club - this is a lack of respect of a club that has given him everything. Absolutely everything.
Rodgers also denied Liverpool inserted a clause in Suarez's contract to allow him to leave for offers from Champions League clubs in excess of £40 million.
He continued: "I don't believe there is a clause in his contract that says he can leave for any sort of price."