The 22-year-old is a free agent at the moment, having been released by West Ham in February, according to Sky Sports.
The youngster is a talented player, but he has struggled to make an impact at the five different clubs he has played for so far in his career.
Morrison was released by Premier League giants United in 2012, and West Ham terminated his contract in the middle of the recently concluded 2014-15 campaign.
The midfielder played on loan for Birmingham City, Queens Park Rangers and Cardiff City, but he failed to really gel at those clubs despite showing his promise on occasions.
Former Tottenham and West Ham winger Etherington seems to believe that Morrison can still fulfil his promise.
@mattyethers Do you think Ravel Morrison deserves another try at West Ham under Bilic?— Danny Smith (@Danny_Smith91) June 18, 2015
If someone can get his head right he is as good as I have seen. So much talent. https://t.co/W5XyWDJbLi— Matthew Etherington (@mattyethers) June 18, 2015
Rangers’ director of football Les Ferdinand has been quoted as saying by the British newspaper: “Hopefully it can be resolved, and he will be able to join us.
“There is no question in my mind that Ravel has tremendous talent and is a gifted player. We would love to get him to Rangers.”