Sanchez, 29, did not even travel to the south coast for the lunchtime kick-off, with Gunners boss Arsene Wenger admitting he was left at home over his unresolved future.
Guardiola’s bid to buy Sanchez collapsed at the end of the summer transfer window and City were favourites to land him this time around but the club are apparently unwilling to meet Arsenal’s reported £35 million ($48 million, 39 million euros) asking price.
Wenger, whose side are sixth in the Premier League table, confirmed before kick-off at Dean Court that he remained unsure on Sanchez’s future.
Wenger admitted on Friday that Sanchez would not be signing a new deal, paving the way for him to leave the club in the current transfer window, adding that a bidding war could help Arsenal.
The Chile international has refused to sign a new Arsenal contract with his current deal expiring in the summer, and United and City are reportedly both keen on recruiting him this month.