The World Cup victor did play regularly at the end of last season, but as he approaches his 32nd birthday it seems as though Sarri will opt to keep the more youthful Morata and Batshuayi ahead of Giroud, who has attracted interest from Marseille.
The teenager started in the Blues' penalty shootout defeat to Arsenal in Dublin and caused Gunners' defender Hector Bellerin problems all through the game from the left-wing, with the Blues missing a number of their big names.
In fact, the forward's performance may have convinced Sarri to give him a chance in the first-team rather than loan him out.
Vettel doesn't blame Bottas for collision
He took a grid penalty for impeding Carlos Sainz in qualifying at the Red Bull Ring . "Lucky that the vehicle wasn't broken and we could carry on".
Chelsea had explored the possibility of signing Juventus striker Gonzalo Higuain, who Sarri held a keen interest in reuniting with after working well with him at Napoli, but AC Milan have enterred an advanced stage of talks with the frontman.
'I only let him go once he had signed a contract which stated he would not be allowed to sign any of our players - apart from Jorginho, ' De Laurentiis said of Sarri, according to the London Evening Standard. I don't know the situation at this moment.
Sarri's men don't have long to ponder the loss in Ireland, for they now shift their focus to Sunday's Community Shield with Manchester City.
Chelsea remain determined to keep Hazard from the clutches of Real Madrid, and every day that passes without a mega-offer or player agitation increases their confidence of achieving their aim.