With Chelsea returning to Champions League, Batshuayi is also expected to shoulder Chelsea's goalscoring burden after starting only seven games in all competitions last season.
"They are two young strikers who will have to improve as quick as possible because they are our main strikers," Fabregas told reporters.
"When you are the main striker for Chelsea you need to fight for all the competitions and if you are going to fight for all competitions you need your strikers to score lots of goals."
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"He (Morata) has a lot of potential, the same as Michy to improve. It's up to them how far they want to go."
Fabregas believes the entire squad will get more chances to prove themselves next season, with manager Antonio Conte's side hoping to challenge on domestic and European fronts.
"Last season, because of the schedule with no Champions League and we went out early in the League Cup, we were all fit for most of the season, the manager didn't have to make a lot of changes," Fabregas added.
"The manager has said himself it is a long season ahead with lots of games ...I'm sure we will have more opportunities ahead of us."
Champions Chelsea will host Burnley in the opening game of their league campaign on Aug. 12.
(Reporting by Hardik Vyas in Bengaluru; editing by Amlan Chakraborty)
