The Arsenal skipper has netted 28 times in 27 league games in 2011 and Saturday's hat-trick against Chelsea only served to highlight the threat he poses.
The upcoming Champions League fixture between the Gunners and Marseille at the Emirates Stadium will have a bearing on the winner of Group F.
Arsenal are top of the group with seven points after their 1-0 win in the reverse fixture, while Marseille are a point behind in second place. Both teams are in prime position to qualify, but will be keen to avoid ending up in the runners-up position, where they will be drawn against the winners of the other groups.
Deschamps is well aware of Arsenal's 5-3 victory over Chelsea, praising the North London side's attack and highlighting the need to stop their talismanic skipper.
He said in a press conference: "Arsenal put in a great performance to score five goals against Chelsea. They have a great attacking trio and of course Robin van Persie is in exceptional form.
"He's certainly one of the best players in Europe. What you want from a striker is to score goals, and his return is really impressive.
"But maybe he plays in a team that likes to help him; he has players like Gervinho and [Theo] Walcott who would rather pass to him than shoot.
"Maybe marking him is the best thing to do; we need to stop him getting the ball."
However, despite Arsenal's options, the former Juventus midfielder believes his men can stage an upset in London.
"A win would be amazing, but a point would also be a big achievement," added the Frenchman.
"The most important game might be our next one, at home to Olympiacos.
"Anything is possible. The most important thing for me and my players is to believe that we are capable of getting a result. That's what we need to focus on."