The forward tipped a point shot by Evan Bouchard in the first period against the Montreal Canadiens at Bell Centre.
Kane was making his NHL season debut after agreeing to a one-year contract Thursday. He was playing on a line with Connor McDavid and Kailer Yamamoto.
"I'm looking to add to the group in a positive way and I'm really excited about the opportunity," Kane said Friday. "I think it's going to be great."
Kane has scored at least 20 goals in each of his past six NHL seasons, including 22 in 56 games last season.
"He certainly helps our depth at winger," McDavid said Friday. "You look at our roster. We're deep on the wings. It gives the coaching staff an opportunity to put together some pretty good lines. Kane's a guy who can score. Whoever he plays with, it's a good opportunity for both guys."
Kane was in the fourth season of a seven-year contract he signed with the San Jose Sharks on May 24, 2018, but did not play for them this season. He was suspended by the NHL for 21 games on Oct. 18 for violating NHL COVID-19 protocol, cleared waivers and was assigned to San Jose of the American Hockey League on Nov. 29. He scored eight points (two goals, six assists) in five games but hadn't played since entering AHL COVID-19 protocol Dec. 22.
Kane was placed on unconditional waivers by the Sharks on Jan. 8 with the intention of terminating his contract "for breach of his NHL standard player contract and for violation of the AHL COVID-19 protocols."
While in the AHL, he crossed the border into Canada, which was investigated by the NHL for a possible COVID-19 protocol violation. The NHL announced Thursday that there was insufficient evidence to "conclusively find that Mr. Kane knowingly made misrepresentations regarding his COVID-19 status or test results in connection with his international travel." His agreement with Edmonton was announced a few hours later.