Pochettino was appointed at the Premier League club last week following the sacking of Nigel Adkins.
Lallana, who is currently sidelined with a knee injury, is now excited about working under the Argentine's new regime.
"It's going to be different, but it's going to be good," the 24-year-old told the club's official website.
"I'm so eager to get back playing, especially under the new boss. There's a team of four who have come in, and the gaffer is starting to get his messages across."
Lallana is expected to make his return from injury next month.