Guardiola refused to rule out a fresh approach for Sanchez after Gabriel Jesus suffered a suspected knee injury in City's 0-0 draw at Crystal Palace.
On a damaging afternoon, City's pursuit of a 19th successive Premier League victory ended in frustration and with injuries to Jesus and Kevin De Bruyne, who was taken off on a stretcher following a late challenge by Jason Puncheon.
With Gabriel facing a spell on the sidelines Guardiola was asked about the Chilean, and the 46-year-old responded: "We will have meetings and see what is best.
"He is a player from Arsenal and I think he is going to stay at Arsenal. Now (the priority) is just to recover from today. Sometimes you ask for that but I have a lot of things in my mind. In two days, we have another game (at home to Watford). But now Alexis is an Arsenal player."
Guardiola had already expressed concerns Jesus could be ruled out for up to two months when he said: "Gabriel will be out for maybe a little more than one month. Kevin, we will see tomorrow, if it is a kick or something else. We were lucky in recent games. It is the same. I admire the physicality of the league, but the referees have to protect the players. It is all I am asking.
"We were lucky against Tottenham, with Kevin, we were lucky against Newcastle, (with Ilkay) Gundogan; today we will see what happens. Hopefully it is just a huge kick. Maybe he will not be ready for Watford game. Protect all the players please from situations that are dangerous."