"I was very angry from our first half", Conte said.
Chelsea boss Antonio Conte left out Antonio Rudiger for his side's 3-2 win at Southampton as punishment for his tactical criticism of his side's collapse at Stamford Bridge last weekend against West Ham United.
But, with Mark Hughes seemingly on course for a first league victory as Southampton manager since arriving on 14 March, Giroud sparked a listless Chelsea into life.
"As long as it is mathematically possible to finish in the top four we will keep battling".
He said: I think that the coach has to try to find a different solution, especially if you are losing, but I think the difference was that we played in the second half with great desire not to lose another game.
The Blues eventually came from 2-0 down to claim the three points, with relegation-threatened Southampton's misery being compounded by the fact Alonso assisted the Chelsea opener.
Hazard found his scoring boot in the 75th minute before Giroud again hit target to hand the Blues a 3-2 victory.
'It was tough for us, the second goal was a hard moment but the most important thing if you concede one or two goals is to never give up and believe in our quality and play our game.
Next up is a trip to Burnley on Thursday before a return date with Southampton, at Wembley on Sunday in the Fa Cup semi-final.
Given the earlier scoreline, it really should have been game over, given that the Blues hadn't come back to win from 2-0 down in a Premier League game in 16 years. They were all within a 10 or 15 metre radius.
When Gary Cahill failed to cut out Ward-Prowse's whipped free-kick, league debutant Bednarek nipped in at the far post to slide home and double Saints' lead.
Alvaro Morata went close for Chelsea in the 28th minute from Zappacosta's nod back to him only for him to head wide.
With Southampton reeling, Giroud then completed Chelsea's comeback when he pounced on a loose ball inside the area to drive into the bottom corner.
The visitors were level, four minutes after grabbing their first goal, as Hazard fired home from inside the box.