Earlier this week, Burnley announced that they had secured a loan deal for the winger, who has made just one start and five substitute appearances in all competitions this season.
However, Pochettino has backed the 22-year-old to show his ability at Turf Moor before returning to the North London outfit in the summer.
The 45-year-old told reporters: "I think GK wasn't involved too much and of course he's young and he needed to play more and feel more involved in the games.
"It's a great opportunity for him to show for Burnley. I hope and I wish he plays a lot there and can show his quality there."
Nkoudou has not started a Premier League game since joining Spurs in August 2016.