Lambert netted in a 3-1 friendly win over Turkish side Besiktas on Saturday, after finishing as the club's top scorer in the Premier League last season with 15 goals.
|GOAL 50: THE TOP 10
|100/1||Rickie Lambert is 100/1 with BetVictor to be the PFA Player of the Year 2013-14
"We count on Rickie," Pochettino told the Daily Echo after Saturday's victory.
"We are happy with him. I didn't know there was any interest in him. This is a surprise for me."
Ramirez has already been linked with a return to Serie A with Inter, just one season after his £12 million switch from Bologna.
The Uruguayan's agent, Pablo Betancourt, says that his client would consider a move if Inter made a concrete approach but Pochettino is not worried about the prospect of losing the attacking midfielder, who scored five goals in 26 appearances for the Saints last term.
"I just listen to Gaston, not his agent," the manager added. "Gaston is happy here and we expect him to stay and to put a lot into the team."