Parise, a 34-year-old forward, and Suter, a 33-year-old defenseman, have been key components for the Wild since signing with them prior to the 2012-13 season, but each had an injury-shortened season in 2017-18.
Parise was out until Jan. 2 recovering from back surgery, and Suter had his season ended by a broken right ankle March 31.
They were in the lineup together for 39 games, when Minnesota went 23-9-7 and outscored its opponents 128-106. In 43 games with one or both out of the lineup, the Wild were 22-17-4 and were outscored 123-122.