During the break, the Italian took up his position in the dugout before his players had even come out for the second half and Wise felt this was a clear indication that he's "waiting" to be sacked.
Giroud who came off the bench to help Chelsea secure all three points against Southampton on Saturday in 3-2 victory in his first League goal for Chelsea said, he has always been waiting for the opportunity to help the club get a victory.
Naturally, Chelsea fans delivered a similar message to Conte at full-time - start Giroud more.
"The most important thing is to never give up, believe in our quality, play our game and I am proud of what we have done today".
Despite appearing to be in the ascendancy early on, Chelsea's lack of craft meant Southampton were comfortable, and that encouragement ultimately led to the home side breaking the deadlock.
The France forward's header - his first league goal for Antonio Conte's team - and left-footed drive sandwiched Eden Hazard's left-foot finish as the Blues moved within seven points of fourth-placed Tottenham.
Relegation-threatened Southampton stunned Chelsea by sweeping into a two-goal lead thanks to strikes from Dusan Tadic and Jan Bednarek. In the second half we showed great character and a great reaction.
"We missed the first 25 minutes", said Tottenham manager Mauricio Pochettino, whose side face Manchester United in the FA Cup semi-finals next week. Clearly, with Chelsea down to 10 men and us in first half on the ascendancy, it is a slant on the game really.
"Don't forget we went 2-0 down, but we had the right spirit to come back and win the game". James Ward-Prowse's free kick found Bednarek, who lost his marker and finished well from close range to mark his Premier League debut with a goal.
Chelsea: Thibaut Courtois 6, Cesar Azpilicueta 6, Gary Cahill (capt) 6, Andreas Christensen 7, Davide Zappacosta 6, Cesc Fabregas 7, N'Golo Kante 7, Marcos Alonso 6, Willian 7, Eden Hazard 7, Alvaro Morata 6.
The visitors were level, four minutes after grabbing their first goal, as Hazard fired home from inside the box.