Suarez is far from the most popular player in the Barclays Premier League, and his admission earlier this season that he had dived in an attempt to win a penalty did little to enhance his reputation.
"I would hope it would be football and consistency," Rodgers said.
"I have the great advantage of working with him and seeing the warrior spirit he is and I don't think there is any club in the country that wouldn't want him in their team.
"What he has done for us this season has been amazing. He would certainly be my favourite for it - and he'd thoroughly deserve it."