Spurs were coasting after establishing a 3-0 lead before Ruben Neves and Raul Jimenez scored from the spot after two fouls by 20-year-old Foyth.
It made for an uncomfortable finish for Pochettino's side at Molineux but they hung on to climb above north London rivals Arsenal into fourth spot in the table.
Pochettino refused to blame Foyth, who was starting in place of Davinson Sanchez.
Colombia defender Sanchez was being rested before Tuesday's must-win Champions League Group B game with PSV Eindhoven at Wembley, but was sent on in the closing stages to strengthen the back line.
"These things happen," Pochettino told BBC Sport when asked about Argentina Under-20 international Foyth's performance.
"He is so young, it's his first game in the Premier League, I think he played well. He always tried to play and was relaxed and calm. I think his performance was very good and I am happy with him."