Speculation has continued over the France midfielder future with the Gunners reportedly preparing a new offer and Paris Saint-Germain also linked.
Pardew said: "I think the situation with Yohan is an ongoing situation and we will take each day as it comes.
"There's been one bid and I've turned that down, and that's really all I'm going to say on that."
Pardew has been in the south of France to discussed potential targets with club owner Mike Ashley but admits there are no imminent additions to add to lone summer signing Loic Remy.
Pardew added: "I was there to get together with the owner and get ourselves a game-plan going towards the final week of the window, and that's what we did."