The proposal would see an extra driving range built on top of the existing outdoor driving range at Hawkstone Park Golf Course.
The popular course is based at Weston Under Redcastle between Wem and Prees Green.
The application was submitted by David Sims, of Interesting Hotels Ltd at the end of last year.
Carl Hughes, of HDS Architectural Services, said in a planning statement: “Hawkstone Park is a well-known heritage site, renowned for its historical landscape and parkland, which is a key part of its appeal.
“This proposal seeks to create a modern, sustainable recreational facility while respecting the site’s historical and environmental significance.”
He continued: “The proposal consists of erecting a modern driving range enclosure consisting of 15 bays with appropriate facilities, above the site of the existing open-air driving range.
“Additionally, the building will include two separate golf simulators to provide an indoor alternative to the outdoor driving range, enhancing the accessibility of the facility.”
Mr Hughes said it is hoped that the new indoor simulators will allow the club to provide a year-round golf experience, whatever the weather.
He added: “The proposed new building will provide cover for 15 driving range bays that will use the existing driving range green. It will also incorporate two separate bays that will each house a golf simulator.
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“The simulator bays will allow the golf club to provide a year-round golfing experience which will not be affected by the weather. It can be enjoyed individually, by groups of members socially or for coaching with one of the ranges professionals.
“The existing coaching shelter will be removed as part of the works.”
The application confirms that the building will be fully accessible and have solar panels on the roof, and it is hoped that it will a “positive addition” and secure the club’s future.
A decision from Shropshire Council is expected by the end of this month.