Since joining the Merseyside giants from Swansea, Rodgers has been linked with a number of players including former Swans loanee Gylfi Sigurdsson.
While Rodgers concedes he has a number of players in mind who can improve the Reds’ squad, he has reassured the current crop that they will all be given the chance to shine.
“The cycle with Kenny was a terrific cycle, but I'm a different tactician and a different type of person and that will give all the players an opportunity to perform,” Rodgers told reporters. “I've got to assess all the players to see if they fit into the philosophy.
|Rodgers looking to keep Cole
"I know what we've got, more or less, in the squad, but I also know there are a couple of signings that could really improve what we do.
"I think there are a few players who can come in and improve the group straight away. I know the types of player I need to bring here to make us function well and that's something myself, the club and the board will look at.
"Hopefully we can get one or two in, and that is something we will be working hard on over the course of the summer."
One player who will be particularly keen to impress the new boss is Joe Cole. Since opting to move to Anfield from Chelsea in 2010, Cole has endured a torrid time at the club, spending last season on loan at Ligue 1 outfit Lille.
Speculation has been rife over where the England international’s future may lie, though Rodgers has confirmed Cole is looking to stay at Anfield and prove his worth to the fans.
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He continued: "I met up with Joe Cole when I was in Spain - I certainly know he's looking to come back.
"Joe is a very talented player. He's obviously gone out to Lille and done very well. He has the opportunity to come back here and show his qualities.
"For me, it's fresh for everyone. Of course, I know lots of the players and their qualities, but Joe is obviously a player who'll want to come back and show his worth to the group."
Rodgers also revealed he has had little time to watch the European Championships in Poland and Ukraine due to the amount of time he is spending at the training ground searching for ways to improve the club.
"I've watched a bit of the European Championship, but I can't say I've watched every single game," added Rodgers.
"I've been working here at Melwood [Liverpool's training ground] until late at night and trying to throw every second of my time into looking at ways for us to move forward."