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.
The Gunners boss, who turned 64 last month, has been offered terms on an extension to his lucrative £7.5million deal past the end of the season.
As yet, though, that remains unsigned, with Wenger insisting now was not the time to focus on anything other than keeping Arsenal top of the Premier League when they travel to Cardiff on Sunday.
When asked by Press Association Sport if the negotiations would be concluded by Christmas, Wenger said: "Why? Do you treat that as a present?
"I said many times, that people don't need to question my commitment to this club.
"I can just reiterate what I said at the start of the season - I want to feel that I do well, and focus on that."
Wenger added: "I am relaxed about the situation. What is important is that the players have the support, to focus on the target which is to do well in every single game."
The French coach is now the longest-serving manager in the English top flight and insists his desire for success burns as fierce as ever, with the quest continuing for a first trophy since the 2005 FA Cup.
"I have been here for 17 years, and I just want to make sure that I deliver to this club what the club is expecting," Wenger said
"I decided that at the start of the season because we had a very difficult start, and I want to continue that and do a good job and focus on that.
"My commitment is not a problem to this club."
Arsenal beat Marseille 2-0 at the Emirates Stadium on Tuesday night to all but secure a place in the last 16 of the Champions League.
Victory at Cardiff on Saturday, when England left-back Kieran Gibbs is set to be available again following illness, could see the Gunners move seven points clear, with their leading rivals all not in action until Sunday.
Wenger said: "We have that opportunity we want to grab at the moment.
"We are in a position where we do not need to look too much at the other results, just at our results, that is a luxury and of course we want to take advantage of that."