The 19-year-old winger scored on his debut for Rangers but since then his performances have come under scrutiny as he has struggled to make an impact in Scottish football.
Rangers are hopeful that Amad will make a bigger impact before he returns to Manchester United at the end of the season.
The Gers signed him with the hope of him playing a key part in them retaining the league title, but it has been claimed he also had the option to return to Italy.
According to Italian outlet Calciomercato.com, Sassuolo made an approach to Manchester United to sign the former Atalanta winger on loan.
The Italians sold Jeremie Boga in January and wanted to bring in Amad on loan as his replacement for the rest of the season.
But Manchester United wanted the winger to stay in the United Kingdom to further acclimatise to the style of football.
The club felt a move to Rangers would prepare him better to be in the first team at Old Trafford.
And he completed a loan switch to Ibrox before the transfer window slammed shut.