Heung-min Son's late winner against Newcastle United lifted Spurs above reigning champions City and into second place in the Premier League.
Pep Guardiola's men will regain that position if they are able to beat the Gunners at the Etihad Stadium and close to within two points of leaders Liverpool, who face West Ham on Monday.
Asked after the 1-0 triumph over Newcastle whether he would watch Sunday's encounter, Pochettino replied: "Yes, at home."
Pushed to clarify whether he might be shouting for Tottenham's north London neighbours, the Argentine coach was in playful mood.
"No! Why? Never!" he said, before suggesting he hopes football will be the winner.
"No. I will watch the game and won't be on one side or another. I am going to watch the game and accept whatever the result is. I'll be happy with the result that they're going to have."
City lost to Newcastle in midweek, while Liverpool were held to a home draw against Leicester City.
"We don't need to be in some position like today to convince ourselves about our capacity, our potential or possibility to win," Pochettino added.
"We always believe in ourselves. We are there because we believe in ourselves.
"Then it's if we are capable to fight until the end - to be close and fight until the end, to go close to our opponent to be champions.
"Today, we are there because we deserve to be there. We will see what happens in the future."