"I have to say thanks to Ralph (Krueger, club chairman), to the board, to Les (Reed, executive director) and Ross (Wilson, director of recruitment and scouting), all my technical staff and all the Southampton employees".
Pellegrino had replaced the now-Leicester City manager Claude Puel last summer after the Frenchman was dismissed despite a strong top-half finish and a League Cup runners-up medal.
Saturday's 3-0 defeat at Newcastle left the Saints just a point outside the relegation places with only eight games of the Premier League season remaining.
Southampton's next match is an FA Cup quarter-final at Wigan on Sunday, before a crunch clash with relegation rivals West Ham at the London Stadium on March 31.
Silva impressed many with his ultimately fruitless attempts to guide Hull City to Premier League safety previous year and he made a good start at Watford this season until an approach from Everton soured his relations with the club.
From the beginning I tried to do my best every single day, I tried to give back to the club and tried to represent the club with pride.
Pellegrino leaves St Mary's having won just eight of his 34 matches in charge, but the Argentine has acknowledged that he can not dispute being sacked by the South-coast club.
They are now one of six clubs who are seen to be in the thick of fighting it out for the last two relegation spots.
Michael Porter Jr talks injury after loss
IT WAS OVER WHEN: Robertson's wide-open corner 3-pointer rimmed out, and Missouri couldn't get another shot off before the buzzer. While Porter shot a low percentage , Mizzou outscored Georgia while he was on the floor and got outscored when he was off it.
LeBron James blames Cavaliers' woes on team injuries
By the halftime had arrived, the Lakers held a 65-60 lead, adding eight more assists to their total while drilling six 3-pointers. The loss dropped the Cavs into fourth place among teams in the Eastern Conference, one half-game behind the Indiana Pacers .
Marvel Chief: 'We absolutely' Will Make 'Black Panther' Sequel
I think there's lots of potential. "It's a balance between leaving people wanting more and then giving them too much", he said. Likewise, the films rights to Namor have been in question, with Universal also holding rights to that character for a time.