Park Greene Apartments for rent in San Antonio, TX on ForRent.com: (877) 449-5575 - Availability, pricing and special promotions subject to change daily. Nestled aside the Northern Hills Country Club Golf Course, you will find our spacious 1, 2 and 3 bedroom townhomes in a homestyle and private setting. We invite you to tour our unique community and experience the 'distinction' of a townhome.