Henry made his return to the club on-loan on Monday and scored the winning goal against Leeds.
Reports have suggested Pires could sign a short-term contract with Arsenal, after having started training with the club.
Pires told L’Equipe: “No, that is for sure.
“It is absolutely not my intention nor the one of Arsene, who is already ‘full’ in the midfield.
“What is nice with English clubs is the fact they have respect for former players. What happened with Henry, or Scholes at Manchester United, has not surprised me.
“The beautiful story between the Gunners and Henry is going on. Not mine.”
Pires is a free agent after leaving Aston Villa last May.
“I am waiting for propositions from Asia,” he said. “Nowadays the new destination is China. I am on the negotiation level.
“I have also first contact in India. That is cool. That would be a nice destination on every level.
“I am waiting to see what could happen with China later in January. As its league will resume soon, it should not last too long. If I have nothing else at that moment, I will stop.”
