Coach Ernesto Valverde made a number of changes and the Catalans were held and the youngster is appreciative that he was afforded the opportunity.
"I only want to stay here," he said after the game.
"It's my team, it's my parents' team and I've been here since I was a child.
"If it's up to me, I'll stay.
"I think I have to play more with Barcelona B and take advantage of chances whenever I get one."
Puig added: "LaLiga Santander is much more special than the Copa del Rey.
"Few youth players have the chance to play in the league.
"I'm happy and it's a very special day for me."