Eze is said to be ready to leave Palace this summer and is a top target for Tottenham.
However, various reports say Arsenal technical chief Andrea Berta is now in talks with the player's camp about a move to London Colney.
Eze can leave for the £68m buyout clause in his contract this summer, leaving Palace with little room to maneuver if a club were to pay that fee.
And it's suggested Eze would choose Arsenal over Tottenham if given a straight choice.