But after Zouma started Friday's friendly defeat to Kawasaki Frontale in Yokohama, Lampard said he wants the France worldwide to remain at Stamford Bridge.
They were Chelsea's best chances and goalkeeper Willy Caballero had relatively little to do despite denying Akihiro Ienaga on the stroke of half-time.
And they would eventually lose the game late on when Leandro Damião headed home from close range.
It seems like a full competitive senior debut for Mount in Chelsea colours is just around the corner and the sky is the limit for him.
The midfielder was on loan at Derby last season and after the return of Lampard to Stamford Bridge, Mount and several young prospects have committed themselves to the club this summer. My job now is to work hard in pre-season with them.
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The USA global was signed from Borussia Dortmund for £57.6m in January but stayed at the German club until the end of the season. "We will get there".
The Chelsea manager insisted that he wants the defender to be part of his squad next season.
"He has been here a couple of days really in terms of training, so I have been really impressed", Lampard said of the United States worldwide.
In the 30th minute, Chelsea forward Pedro showed off his skill by zigzagging past a group of Kawasaki defenders before unleashing a long-range shot, which flew just over the bar.
Chelsea were second best against Kawasaki and the raucous home crowd got what they wanted when Brazilian striker Leandro Damiao took advantage of some sloppy Chelsea defending to head the victor four minutes from full-time.
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"We were not allowed play our own football".
New Blues head coach Lampard has introduced Mount to the Chelsea first-team during pre-season and revealed he will be around for the upcoming campaign. We felt a lot of pressure.
"It's going to be another great game and it's going to get us more and more ready for the start of the season".
"But we went into the match to win, and we won".
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