A late header from Leandro Damiao gave the hosts a 1-0 victory as Chelsea struggled in humid conditions.
Pulisic, who replaced Mason Mount in the second half, failed to make an impression before Damiao nodded in from close range in the 88th minute.
Chelsea have won just one of their three pre-season friendlies.
It was a frustrating afternoon for them at the Nissan Stadium as Pedro, Mount and Olivier Giroud all came close in a game of few clear-cut chances.
The Blues missed N'Golo Kante in midfield - the Frenchman is continuing his recovery from injury - while Tammy Abraham and Kepa Arrizabalaga were also absent.