The decision to employ the Frenchwoman, a former world number one and two-time grand slam victor, attracted plenty of scrutiny.
He will certainly go into the match as a hot favourite to make his third Wimbledon final but he has never played Berdych on grass before, so that is an unknown factor.
The third set was much of the same, whilst Pouille held serve in the first game, Berdych would go on to win five games in a row before serving out the match at 5-2 to move his first Grand Slam semi-final since the Australian Open in 2015.
The 10th seed edged a tight opening set on No 1 Court before cruising through 7-6 (7-4) 6-3 6-2 to seal a last-four spot for the first time since he reached the final six years ago - when he lost to Rafael Nadal.
Talking about his strategies on the game, Berdych claimed he'll do his best to push Murray as hard as he can by being aggressive and not letting him dictate the game.
"It's nice that the players I'm playing against say I'm playing more aggressive because everyone's only said I've played aggressive when Ivan (Lendl) has been coaching me".
That was as good as it got for Pouille, who had lost in the first round in seven of his previous nine grand slam appearances.
The 69-year-old revealed he had been hooked on the latest series of Game of Thrones, saying: "It's fantastic, it's the most sensational television and I was very lucky to be a part of it".
While Murray was also successful under Amelia Mauresmo's guidance, he did not win another Slam, often letting his emotions get the better of him on court.
"Playing with the kind of variety I talked about doesn't work against everyone, but against Tomas Berdych it has worked well over the last couple of years", he said.
That perhaps explains why Berdych looked exhausted and occasionally ragged against Pouille, but he got the job done, sending down 10 aces on the back of a trademark strong serve and showing enough power in his groundstrokes and variation with his play at the net to suggest that Murray will not have it all his own way where the pair square up once again. We've played a few times over the last couple of years on different surfaces, but never on grass.
"That first set was a tough one for him to lose, and I ran away with the second, but he fought right until the end and it was a great match".
And with Ivan Lendl adding his knowledge too it looks a tall order for Berdych, who is at his biggest ever price of [7.4] against the Scot, having been a biggest priced [4.76] way back in 2011 in Bercy (in a match Berdych won). He's a powerful guy.