The Argentinian has been in charge of Los Pericos for the last three-and-a-half years but despite relative success in keeping them away from any threat of relegation, he has been continually frustrated by cutbacks in the club's budget for the playing squad.
Sampdoria beat Varese 3-2 on aggregate in the Italian play-off final to secure their return to the top flight after just one season and had agreed to meet the 1.5million euro clause in Pochettino's contract which allows him to speak to other clubs.
However, the 40-year-old, whose current contract runs until 2015, has decided to remain with the Catalan club and says he hopes the speculation surrounding his future will now dissipate.
He told the club's official website, "I had offers but I will stay but I have rejected them, my heart lies here.
"My future has caused a lot of uncertainty and this is not good for the club or the fans.
"I want to be positive and participate in the changes we are making here because this club has great values. The objective is to build a squad that can compete in the Spanish league.
"The fans deserve to hear from the mouth of their coach what I am thinking. In the last few hours they have been worried, but I will only leave when the board and the fans don't believe in me.
"I believe this press conference will serve to show our strength and we are working as hard as possible to create a project that will excite the supporters."