"Two games and no goals show where Arsenal's problems lie and there are few better finishers around than Jermain Defoe," Wright told The Sun.
"I'm sure Lukas Podolski and Olivier Giroud will get goals for the Gunners once they have picked up the pace of the Premier League. But Arsenal cannot afford another dodgy start to a campaign after playing catch-up for all of last season.
"If I was Arsene Wenger, I would make an audacious bid for Defoe, whose face doesn't seem to fit at Spurs and who looks up for a move. Defoe would be the perfect replacement for Robin van Persie, the penalty box predator to finish off all those half-chances which are currently going begging."
Arsenal face Liverpool at Anfield on Sunday.