Israel midfielder Benayoun, 33, recently joined the R's on a short-term deal and hopes to make his debut against Leicester on Saturday.
"The squad here is very strong and is definitely good enough for the Premier League. It is where this club should be," he told Rangers' website.
"There is only one target here - to win promotion in May.
"I want to help the squad with my experience, and I believe in my ability.
"There are a lot of games and I want to come in and work hard for the club, just like everyone here is already working hard.
"I want to do all I can for this club to achieve promotion."