Sky Sports reports how the 25-year-old is starting to attract interest from a number of Premier League clubs, after a series of scintillating performances for Nigeria at the Africa Cup of Nations this year.
Emenike has scored three goals for the Super Eagles in South Africa, helping his country to the semi-finals of the competition.
Gunners boss Arsene Wenger has been credited with an interest in bringing the Nigerian to the Emirates Stadium in the summer, as has Brendan Rodgers at Anfield.
Both Arsenal and Liverpool are believed to have sent scouts to watch Emenike in action, ahead of prospective bids at the end of the season.
However, the African ace is paying little attention to speculation surrounding his future at the moment, though he admits that it's flattering to be linked with such illustrious clubs.
"I am playing in Russia at the moment and I have a contract that I intend to respect," said Emenike. "But to be linked with the Premier League is a dream come true.
"I would love to play there in my career. There are many great clubs there."