Shiels was let go by the Ibrox outfit following promotion.
Dean Shiels' departure from Ibrox side Glasgow Rangers was announced earlier.
Ibrox side Rangers won against Old Firm rivals Celtic in the Scottish Cup semi-finals on Sunday.
The Scottish Premiership leaders won 2-0 in last season's Scottish League Cup semi-final.
Rangers manager Mark Warburton has spoken highly of Gers trio Kenny Miller, Lee Wallace and Dean Shiels.
Rangers midfielder Dean Shiels suggests that the Gers would be able to challenge Celtic for the Scottish Premiership title soon.
Rangers midfielder Dean Shiels says that discussions over a new deal have begun.
Mark Warburton says the futures of Nicky Law, Dean Shiels and Nicky Clark are 'big decisions' for Rangers.
The Gers made it nine out of nine with a 3-1 victory at Ibrox on Saturday.
Scottish Championhip side Rangers have made a strong start to the season.