The 2015 all-star is coming off a disappointing 2018-19 season on Broadway, recording 28 points in 73 games with the Rangers.
Shattenkirk, 30, got off to a tough start in New York after signing a four-year, $26.6-million deal with his childhood team on July 1, 2017, tearing his meniscus midway through the 2018 season.
He finished the campaign with 23 points in 46 games.
Shattenkirk has collected 349 points across 609 games during his nine-year career.
Drafted 14th overall in 2007 by the Colorado Avalanche, he has also had stints with the St. Louis Blues and Washington Capitals.