The Saxonby Group has submitted plans for the site in Ellesmere Road for the third time, after the previous two applications were rejected by Shropshire Council.
The developers have lodged an appeal against the authority's decision to refuse the second application, which was for 36 flats in three blocks.
Shropshire Council officers recommended that the scheme was approved but this was turned down.
Now in a third application, all matters are reserved apart from access.
There have been 26 objections to the latest application, and no comments in support.
Residents have objected saying it is greenfield land and should not be built on, and that the the scale and design of the development are out of keeping with the area.
Shrewsbury Town Council also objected to the plans.
Anthony Green, of Shrewsbury Friends of the Earth, said in his objection that the new development would add to the traffic problems, and there is a need for green spaces.
He said: "Shrewsbury Friends of the Earth objects to this application due to the need to keep open green spaces for the use of the local community.
"There have been several new developments in the area of Ellesmere Road and more housing will add to traffic problems.
"The Shrewsbury Big Town Plan supports the need for green spaces and that new development sites should consider the effects on the local area.
"The council has already refused previous applications on this site and should continue to protect this green space."