Inter are back in the elite of football after last season's victory over Lazio on the final day.
“It's a really important objective," Gagliardini said as he presented the new Nike Phantom VSN.
“I'm delighted to be able to make my debut in this competition. We'll give our best and try to go as far as possible, we'll try to respect all three competitions.
“We want to do well, and we have everything to do so."