He also made his substitutions at the right time, the key one allowing Morata sufficient time to score his second goal in as many games.
Chelsea were denied a clear penalty during the first-half.
But even this great player might sometimes find it hard to get back defenders and so he was asked as to who is the best defender in the Premier League.
Having endured much frustration in front of goal since joining Chelsea, the Spanish striker now has two in two games, with his strike against the Saints coming after Thursday's Europa League victor against MOL Vidi. Danny Ings' first half howler falls very much into the second camp, after he somehow missed an open goal after scuffing Ryan Bertrand's deft delivery over the bar. I'm very happy for the players - but we can do more.
"We're winning almost every game now and Chelsea are one of the best clubs so there are going to be top players in the starting XI", said Loftus-Cheek, speaking in an interview with Sky Sports before Sunday's trip to Southampton.
- Barkley became the first Englishman to score and assist in a Premier League game for Chelsea since Frank Lampard in December 2013.
"It's too early to be thinking about the title, we know it is tough to win", said Hazard.
Looking at the goalscorers for all three clubs this season, there is a stark contrast in the shared responsibility at Man City and Liverpool for sticking the ball in the back of the net.
The lead was eventually doubled in the 57th minute as Giroud's acrobatic cross found Ross Barkley, who made no mistake from six-yards out.
They will look to carry their fine form on following the domestic pause when they take on under pressure Jose Mourinho's Manchester United.