The Gers, along with Glasgow rivals Celtic, were both linked to signing the 23-year-old striker back in January, with Premier League clubs also interested.
Awoniyi is currently on loan in the Bundesliga with Union Berlin, but whilst the Nigerian has produced some impressive numbers, his spell in Germany has been overshadowed by a muscle injury which has seen him miss the previous 10 league matches.
Despite his troubled campaign, the young striker managed five goals and three assists in 20 appearances this season, one of which came in their victory over Borussia Dortmund before Christmas.
And Pinder believes that his goal record in Germany would give him every chance of being able to replicate that record in the Scottish Premiership in place of Morelos.
But it would be big boots to fill, with the Colombian striker scoring close to 100 times in four seasons for Rangers, which culminated in their title-winning triumph.
He told Football FanCast:
“If you look at his form for Union Berlin pre-injury, he is a player that could potentially get 15-20 goals in Scotland.
“I think for Rangers for example, playing alongside Kent and Hagi, potentially as a Morelos replacement if he leaves, it would be a decent signing for them.”