The return of Romelu Lukaku to Inter Milan on loan after a disappointing campaign leading the line and the inconsistent form of Timo Werner meant new signing Raheem Sterling started as centre-forward in the 1-0 win at Everton.
Werner was heavily linked to a move back to RB Leipzig over the weekend, if he leaves that will leave Chelsea with just two out-and-out strikers in Thomas Tuchel's squad, Kai Havertz and Armando Broja, and the Albanian has been linked with an exit most of this summer.
Starting with Sterling upfront is not a long-term solution for manager Tuchel and they were indebted to Jorginho's late first-half penalty for the victory.
"You know, every team wants to score a lot of goals and not concede. It's true that maybe at the top it is obvious for the last few years we were a bit far," said Azpilicueta.
"You know it is five seasons since the last time we won the Premier League. We need to score goals if we want to win anything.
"We need to score goals and not to concede anything.
"Lately, the last couple of games in the Premier League, we didn't score enough and with a half-chance we concede.
"So that's our problem, and that's why we finished third with 20 or more points behind Manchester City."