The Celtic boss said: “I think Patrick is one of those players you look at and then you see what happens over the next period of time.
“He has obviously been away with Man City and he is there. Our eyes are open to lots of options.
“Patrick is a fantastic player and we are always going to be interested in top class players.”
If Roberts was brought to Celtic it is likely that he would have an important role to play for Rodgers’ side.
Roberts was one of Celtic’s leading attacking talents during his time with Parkhead, and he remains a fans’ favourite with the Bhoys.
The Daily Star have claimed that City value the Celtic target at £15 million, so he wouldn’t come cheaply for Rodgers’ side.