The Los Angeles Kings dealt the abrasive forward and junior winger John Seymour to the Rangers for forwards Jason Ward, Marc-Andre Clich and Jan Marek on Monday. Known as much for his antics as his skills, Avery should put a charge into a moribund Rangers squad.
They are 3-6 in their last nine games and 7-13 in their last 20.
During that span, the Rangers have been limited to two goals or fewer 11 times.
For the Kings, the deal is the latest move aimed at the future.
Cliche, 19, was a member of the Canadian national junior team that won gold at the world championship last month while Marek, 27, is a productive player in Russia.
Both are unsigned.
Avery, making US$1.1 million, will be a restricted free agent this summer.
The 26-year-old has toned down his sideshow act this season and has been a productive player, scoring 10 goals with 18 assists along with 116 penalty minutes in 55 games.
Last season he led the league with 257 penalty minutes while reaching career-highs with 15 goals and 24 assists.
Seymour, 19, has one goal and five assists in 34 games with the Brampton Battalion of the Ontario Hockey League.
Ward, 28, has four goals and six assists in 46 games with the Rangers this season.
Cliche has 15 goals and 21 assists in 35 games with Lewiston in the Quebec Major Junior Hockey League.
Marek has collected 17 goals and 26 assists in 42 games with Magnitogorsk of the Russian Hockey League.