Ledley has today been linked with West Ham and during the last transfer window Cardiff rejected an offer from Stoke.
"It is great to be linked to a Premier League club and if I continue playing well, then who knows what might happen?" said Cardiff born Ledley.
"Nothing has happened. I must continue to do what I've been doing on the pitch.
"I've got to put all of the speculation to the back of my mind, it's flattering and proof that I must be doing something right.
"It is not down to me anyway, it's down to the club so I will just concentrate on playing well and helping the boys against Arsenal."