No. They didn’t. Americans tanks units had few 76mm Sherman’s among them and they didn’t come into use until the end of ‘44.
IIRC, the 76mm gun had the same problem as the British 17 pounder used on the Firefly Sherman, that being lack of an effective HE round. The Brit's who were ahead of the Americans in upgunning the Sherman didn't develop an effective HE round for the Firefly until ~Dec 1944. Even then, they never pushed for complete replacement of the 75mm gun in their Shermans.
The Americans had similar problem with the 76mm gun in that it lacked an HE round as effective as the 75mm. Since the majority of targets presented to American tanks were "soft", I don't recall any American commanders pressing for complete replacement of 75mm guns with 76mm guns.