The Argentine is without a job since being sacked by Spurs at the start of last season.
Pochettino has now spent 12 months without a job. He is being linked with a move to Zenit St. Petersburg in Russia.
"I can imagine he's impatient," Vertonghen told CBS Soccer's Que Golazo podcast.
"I think the English league suits him very well as he's a manager that prioritises fitness levels and the physicality of the game.
"I think managing in the Premier League is probably the best thing he can do. He will always want to coach a big team I guess, so you have to look at the biggest teams in the league and there are only two or three you can really look at I think at this point.
"I won't name them out of respect for the other managers, but I think that's what he's looking at as well and he wants that big team to confirm him what he's been doing with Tottenham and what he did very well.
"If I was him I would be impatient because he really loved his job and you want to continue that."