The 24-year-old joined the Ukrainian club in 2011 after spending time in Switzerland with Neuchatal Xamax and then a stint in France with Sochaux.
He has impressed during his time in Kiev and was linked with a move to Chelsea last summer as a potential replacement for Didier Drogba.
Reports have also previously claimed that fellow Premier League clubs Newcastle United and Swansea City have been tracking Ideye's progress.
Ideye's agent Hootan Ahmadi says there are clubs showing an interest in the forward, but will not rush into a decision over his next move.
"I am aware of interest from several Premier League clubs in Brown," Ahmadi told Sky Sports.
"Brown is keen to move to England and to play in the Premier League.
"We will assess all offers this summer before considering our options for Brown."