Stamkos was given a silver stick and Vincent Lecavalier, a former teammate and the man whose record Stamkos broke, was in attendance. Lecavalier and team owner Jeff Vinik gave Stamkos the gift at center ice before the Capitals' 6-3 victory.
"The stick presentation with Vinny and Jeff was great," Cooper said. "All around, aside from the final score of the game, there was a lot to be celebrated tonight. It's a tough way to go out that way, you'd like to win the game, but you have to be pretty proud of the guys for earning that."
NHL.com correspondent Corey Long contributed to this report.