The son of ex-Leicester star and Wales international Robbie, the 19-year-old midfielder linked up with the League One outfit in January.
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Savage was Everton cult hero Duncan Ferguson's first signing since taking charge of Rovers earlier this year in their fight to avoid relegation.
And the Red Devils starlet has made an instant impression at The New Lawn where he showcased his talent on his debut off the bench against Charlton.
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His cameo earned him starts against Ipswich and Lincoln, with fans loving what they saw as Savage won their player of the month award with 82.5 per cent of the vote.
Taking to Twitter, Savage posted: "Thanks for all the support Forest Green Tovers fans, been an enjoyable first month at the club."
Prior to heading out on loan, Savage scored once in 13 Premier League 2 games for United, while also appearing four times in the EFL Trophy.
Savage was used regularly by Erik ten Hag during United's pre-season tour of Australia and Asia last summer.
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But the teenager couldn't force his way into first-team contention once the season started.
His only senior appearance for United came in the Champions League against Young Boys in December 2021 - where his dad was commentating on the match.
Ten Hag will be pleased the youngster is getting the game time he needs, with Rovers supporters hoping he can guide them to safety.
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After winning League Two last campaign, the all-vegan football club have struggled this term as they sit bottom of the table - eight points off safety.