The move was made Tuesday, two days before the Wild host the Rangers. The way they've been playing will make it difficult for coach Mike Yeo to put Stoll in the lineup immediately, however.
"Obviously that's his old team. I think he'd be motivated against them, but I think everybody did a pretty good job today so we'll have to make that decision," Yeo said after the Wild beat the Vancouver Canucks 6-2.
Stoll was waived Monday after totaling just one goal and two assists in 29 games with the Rangers. He failed to record a point in his last 18 games. The 13-season veteran won two Stanley Cup titles with the Los Angeles Kings before signing with the Rangers as a free agent last summer.
Stoll, 33, has 141 goals, 241 assists and 602 penalty minutes in 821 career NHL games, with a plus-6 rating and a faceoff winning percentage of 55.4.
Stoll's 93 postseason games are more than any other Wild player, ahead of Zach Parise (89).
"We're excited to have him. You can never have enough depth at center in this league," Parise said, adding: "I think he's going to fit in really well."