Cole agreed with Chelsea fullback Ben Chilwell's review, when stating the organisation at the back was key to the performance.
Cole, who won three Premier League titles at Stamford Bridge praised Chilwell's contribution to a backline that featured fellow new signing Silva as well as goalkeeper Edouard Mendy.
"Ben nailed it when talking about the organisation," Cole also told BT Sport. "The resoluteness of the team was outstanding. They got it right tonight. Chilwell was outstanding. If you're going to win games, you have to keep clean sheets. You have to do the ugly things.
"Having the three new signings, it made such a difference. You can see the pride they took in that. The whole team engaged together as a unit. They saw the problem and dealt with it."