Martinez plans to speak with both players about their futures.
"I can't wait to speak with the players and get to work with them because I feel really excited working with these players," Martinez said.
"It is not persuading anyone. In the game when you are successful - and Everton were clearly successful last season - you will always get good performers who attract interest from other clubs.
"That not only happens here it happens at every football club in the land and abroad so we're not worried about that.
"What we want is the players that are here feel really appreciated and important for the next project and that is all I am focused on.
"If we get players who can move on that is normal in the game but clearly we need to invest and bring players in which will allow us to start next season with a stronger side than ended the campaign and that is always the aim in any club."