Abraham scored one goal during Chelsea's 2-1 win over Aston Villa on Thursday in the Premier League.
Azpilicueta is certain that the 22-year-old will get 'many more goals'.
"I am confident that he can get many more goals because of the way he is working and improving since he started pre-season," he said.
"Not only is he scoring goals. He is playing for the team, recovering the ball and he made a tackle in our own half - that was an amazing effort for him," Azpilicueta added.
Chelsea will now compete against Everton on December 7.