Anelka won the title with Chelsea last season.
The 31-year-old said: “I rate Spurs very highly. They are absolute favourites to win the title.”
He added: “Our aim this season is to finally win the Champions League.
“Could we win a treble, the way Inter Milan did last season? Not so fast – it will be a tough job just to defend our league title.
“Our biggest rivals will of course be Manchester United, Liverpool and Arsenal, while Manchester City could play a major role.
“But I believe that this will be the most thrilling season ever in the history of the Premier League.”
