A number of star names have departed Southampton since Pochettino left St Mary's Stadium to take the head coach role at Tottenham.
Luke Shaw moved to Manchester United, while Liverpool snapped up Adam Lallana and Rickie Lambert, with Dejan Lovren also in their sights.
"We're trying to improve the squad but I never speak about players from other clubs," he said. "I have respect. I'm just focused on my team."
And the Argentine was happy with the progress his side made during their visit to America.
"I'm very pleased for the players because we've finished with a good win, a clean sheet and that's a boost for the confidence," he added.
"It was difficult in the humidity but well done to the players, it was a good game out there. I'm happy for all of them. I thought we played well.
"We've worked hard on this tour and congratulations to the players, staff and the supporters, they've been fantastic."
