Claudio Ranieri says Riyad Mahrez risks ending up on the bench if he decides to leave Leicester this summer.
Swansea boss Francesco Guidolin says he is unsure about Andre Ayew's future, but hopes the forward will stay.
Leicester kicked off their pre-season plans in earnest with a 1-1 draw against Celtic in the International Champions Cup, before winning in a penalty shoot-out.
Leicester City beat Scottish champions Celtic on penalties (6-5) after a 1-1 draw in their International Champions Cup opener at Celtic Park.
Celtic impress against Leicester in the International Champions Cup - but the Foxes win on penalties.
Mike Phelan has refused to rule himself out of the running for the Hull job, telling Sky Sports News HQ : "Watch this space."
Vito Mannone says Sunderland must adapt to David Moyes' style of football as quickly as possible after his appointment as the club's new manager.
Premier League sides were in the goals as they stepped up their pre-season preparations on Saturday, while David Moyes watched his new Sunderland team warm up with a win.