Woodchase Apartments for rent in Houston, TX on ForRent.com: (866) 205-0251 - Availability, pricing and special promotions subject to change daily. Welcome...you have discovered Woodchase Apartment Homes. The ultimate community designed with the sophisticated resident in mind. Located on South Gessner one block from Westheimer, Woodchase offers residents easy access to Houston Central Business Districts. The Sam Houston Tollway is approximately one and one half miles west and provides quick access to Interstate 10 and Highway 59. In addition, the famous Galleria mall is just four miles away.