Virgil van Dijk claims he knows nothing of interest from English clubs and is keen to prove himself in the Champions League with Celtic.
QPR loanee Tom Carroll wants to "make it at Tottenham" but is prepared to consider all of his options at the end of the season.
"I'm not a teenager any more," Zaha told the Mail on Sunday.
"I've played more than 100 first-team games and this year is crucial to develop my football career. I want to establish myself in the Premier League and in international football.
"I've played a lot in the Championship so having that new challenge in the Premier League, where everyone wants to be, would be great.
"To be honest, if I had the chance in January and Palace agreed, it's something I'd want to go for.
"Some of my friends, who play in the Premier League, joke around and ask me what is taking me so long. I just tell them I will be there at some stage.
"I've done a lot of learning in the Championship. Now I'm ready for the Premier League."