Christian Eriksen said he was flattered to be linked with a move to Liverpool, after recent reports suggested the Ajax playmaker was on Rodgers' radar.
Eriksen has been linked with a move away from Amsterdam for quite a while now, with the Danish international seen as one of the brightest young talents in Europe.
"It is great that such big clubs are interested," Eriksen told tipsbladet.dk.
"It is very special for me but I am not contemplating various transfer scenarios in any way at the moment."
Meanwhile, Luis Suarez has asked everyone to concentrate on their own game instead of critiquing him, after the Liverpool striker was criticized by Stoke City manager Tony Pulis for going down too easily inside the box during their English Premier League game last Saturday.
"Everyone should focus on their own team," he told Ovacion. "Those who want to talk can do so, I am not worried about what they say.
"They can keep talking and in the meantime I will keep on playing football and taking care of my team and what I do. Nothing else matters.
"The support of the coach is very important to me and that's what I really care about."
That was evident with Rodgers coming out in support of his striker, saying the former Ajax man was being unfairly treated, highlighting the fact that Suarez was impeded by Robert Huth early on in the game, which went unpunished.
"As manager of this football club I find it incredible that in nearly all the coverage about Luis Suarez this weekend, very little focus has been placed on the fact that he was actually the victim of a stamping incident within the first five minutes of the game," Rodgers said.
"At this moment there seems to be one set of rules for Luis and another set for everyone else. Diving and simulation is obviously a wider issue in football and one that we all agree has to be eradicated from our game but there were other incidents this weekend that didn't seem to generate the same coverage.
"No one should be distracted by the real issue here, both at Anfield and at another game played on Sunday, when Luis and another player were hurt in off-the-ball incidents that went unpunished but were caught on TV cameras.
"I believe some people need to develop a sense of perspective and I also believe in this moment the vilification of Luis is both wrong and unfair.
"I will continue to protect the values, spirit and people of this great club and game while searching for a consistent level of results in order to make progress on the field."
