The Argentine's final game in charge was a 3-0 loss to Newcastle at St James' Park, in which Kenedy's double ensured a vital three points for Rafa Benitez's side. "This is the worst thing that we did today".
"We can talk about "we're way too good for this, we're way too good for that, this is not us" but the reality talks for itself and the results are not there. We need to continue to work as we have been, concentrate on that and hopefully we can keep picking up points".
Matt Ritchie put the game beyond Southampton with a second-half striker.
The Scotland worldwide said: "Every three points now is massive, it's huge".
The Saints play against Newcastle United this weekend in what will be a key match between two sides who are just above the relegation zone. In the last 10 minutes of the game, they were keeping the ball, passing it from one to the other, and, as a goalkeeper, it's great when you see your defenders like that.
Asked on Twitter whether he felt it was time for him to step in, the 49-year-old joked: "With all my coaching experience, I think not!"
Southampton are looking for a new manager again, having tonight confirmed that Mauricio Pellegrino has been relieved of his duties.
"It was just important that we got the win and played really well". For this reason when we conceded this first goal it changed everything, obviously every single goal it was more hard. "Without the right attitude, it's hard to compete".