The Argentine's reign at St Mary's Stadium got underway with a 0-0 draw at home to Everton on Monday evening and Rickie Lambert was disappointed not to beat the Toffees
The former Espanyol boss replaced Nigel Adkins on Friday and got his reign on the south coast underway with a 0-0 draw at home to Everton on Monday night.
"I think he's great," Schneiderlin told Sky Sports.
"In the next couple of weeks we are going to get to know him better and he will get to know us better.
"Next week we are going away for a couple of days to know what he really wants from us and it's going to be great.
"The gaffer asked us to play a high-tempo game with a lot of pressure to them because we knew that if we allowed them to play out from the back, they have [Marouane] Fellaini and people like that who can hold the ball very well.
"We tried to put good pressure on them and I think we did that very well. I think if we play again like that there are some games that we are going to win because today I thought we deserved the three points."
The Frenchman was also in a bullish mood over the Saints' survival chances, insisting retaining their Premier League place is the least the club are expecting from this season.
"That was never in doubt," he continued. "We showed we can stay in this league.
"For 12 or 14 games now we have proved that we are a really good team in this league and that the minimum is to stay in the Premier League but we want more."
Rickie Lambert rattled the post with a first-half free kick and went close to scoring on a handful of other occasions, but was unable to find the breakthrough.
The former Bristol Rovers man insisted the players were fully focused on the match, despite the furore surrounding Adkins' departure and Pochettino's arrival.
He added: "It was a good point but we're disappointed not to get the three, especially first half we played some really good football.
"I should have put one away, maybe two, so I'm disappointed personally I haven't put one in the back of the net but it's well played again, defensively we were solid I thought.
"It hasn't been like that lately, everything I've seemed to touch has gone in. Today wasn't to be but I was hoping to get another chance second half but it didn't come.
"Obviously a footballer's place is on the pitch. Once you're on there you forget about everything else and that's what we've done today. We tried to get a win, it wasn't to be but it was a good performance."