"It was really fun, it was a great night."
McKenzie said his two young children were "pretty impressed" with the Oscar statue.
"I've got a two-year-old and a one-year-old. The one-year-old, all he got to do was wear a tuxedo t-shirt, and the two-year-old, she now has some shoes she calls her Oscar shoes."
He said the Oscar will likely go on top of his piano.
"Maybe I'll take it around town for a while, [use it to] get into bars."
Much has been made about how the Oscar, alongside McKenzie's previous Grammy win, would open doors for the Kiwi.
"I'm not sure what it will mean for my career," McKenzie said. "I think I will be able to take meetings more easily in Hollywood.
"I haven't caught up with Jemaine yet. When we write some more songs coming up in the next couple of months, I'll be able to fall back on the Oscar if we have a disagreement over what chord to go to."
McKenzie joked the success has "gone to my head".
"It's going to be very difficult from now on."
McKenzie said he would be returning to Wellington this week to "chill out for a bit".
"What do I do next? I'll have to work on getting into the All Blacks," he joked.