Giovinco was snubbed by Italy coach Antonio Conte for this summer's Euros.
“I have to think about the future now and my future is playing for Toronto," Giovinco told Sky Sport Italia.
“Let's say recently I wasn't feeling very confident, but I tried to continue working and will do even more so that I can get back into the Nazionale as soon as possible.
“I haven't heard from Conte, no. I knew it was a risk coming here, but I'd do it all again and will stick with it.
“I am sure the Italy door remains open."