"I felt we didn't get the decisions but that is the way it goes, " Rooney added.
Bottom-of-the-league Hamilton's woes continued when Rooney added his second with a fine back-post header from close range on the hour.
The Scot added Rooney could be fit to face Manchester City on Saturday.
"To follow a long line of wonderful players who have been honoured by the FWA since 1948 gives me real pride, " added Rooney.
Adam Johnson, who excelled as a substitute for Theo Walcott after he was stretchered off with an ankle injury following Rooney's goal, added an expertly taken second after 69 minutes to confirm his growing maturity on the international stage.
"As daft as it may seem I'm glad Rooney will be playing, " added the Wales skipper.
BBC: SPORT | Football | Internationals | Speed ready for English test
"We are little bit thin on the ground if we get injuries to major players - if we lose a Rooney or a Steven Gerrard, " he added on 5 live's Sportsweek.
However, they were only brief forays into the opposition half and former Latic Valencia soon added United's fifth of the night, running on to Rooney's slide-rule pass to chip over substitute keeper Mike Pollitt and into the far corner.
Rooney had been having one of his quieter nights for England, but he almost added a fourth with eight minutes left.
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