The Oldham-based Life for a Life nonprofit currently run 40 similar planting sites, including at Calf Lane in Mossley, and at Marklands Reservoir in Horwich.
The site within the park would replace an overgrown and unmaintained tree nursery within Clowes Park.
It has not been used for around 20 years and has been a constant source of irritation with frequent fly-tipping.
Life for a Life would use the land by offering members of the public the chance to celebrate or commemorate their loved ones by planting memorial trees or installing memorial benches.
Salford City Council have been looking for a way to use this land with little liability, and would offer a lease of 50 years with the potential for renewal.
Planning documents state: “A Holocaust Memorial Garden was set up in Clowes Park in 2014 with Life for a Life and the charity has close links with nearby Broughton House, the home for ex-servicemen and women.
“2015 marks the centenary of Broughton House and the charity is keen for any development proposals to be implemented this year to coincide with centenary events.”
The charity will be responsible for all landscaping, as well as looking after the maintenance of the woodland.
Over the past 15 years the charity says it has planted over 15,000 trees. All of its trees are UK grown are are a standard five to seven years old.
The decision will be made at a council meeting scheduled for 12 May.
If it goes ahead landscape works would start in September, with the first trees planted in January 2016.