Kane is quarantining at the club's training ground following his return at the weekend, despite initial reports he had boycotted pre-season amid growing speculation of a move away.
City, Spurs' Monday (AEST) opponent, was reported to have tabled a £100million bid for the forward that was rejected, though the reigning Premier League champions remain interested.
Nuno was on Monday due to hold talks with the England captain, whose 23 goals last term secured his third top-flight Golden Boot award, before he suggested Kane could play a part against Pep Guardiola's men.
Asked about players' availability for the City game, Nuno told Sky Sports: "All the players in the squad that work on a daily basis will be options for us, then it is up to us to decide."
Pushed further for an update on Kane, the former Wolves manager repeated his answer almost word for word, adding that Spurs would consider the "best options" from the squad.
After playing an integral role in England's Euro 2020 final run, Kane will be able to train from Thursday with the Tottenham squad – though that time scale may leave his fitness in doubt for Sunday's opener.
Guardiola has been unrelenting in his pursuit of Kane, reiterating his interest in the forward last Friday despite already signing Jack Grealish for a record-breaking £100m fee.
Whether Kane will join Grealish as a City player by the end of the transfer window remains unseen, but Nuno will hope his talisman can kick-start his side's campaign with a win.