"I have the maximum respect for the previous manager," BBC Sport quotes Pochettino as saying. "It's never nice to take over from another manager who's been let go, but that's just how it's been.
"I credit the previous manager for the work he did here. But now I really want to focus on my tenure here and the future of the club here under me, and the goals we've set out to achieve."
Southampton's next challenge comes at Old Trafford next Wednesday when they take on Manchester United.