Gold has suggested on Twitter that the New Zealand international defender remains an important part of the team.
Winston Reid is a seasoned international. Reece Burke is a promising young centre back, his time will come. dg https://t.co/Nak9B4OmUB— David Gold (@davidgold) April 27, 2016
Reid has created two chances in 20 Premier League appearances for West Ham so far this season.
The 27-year-old former Midtjylland defender has a pass accuracy of 83% and a shot accuracy of 27%, and has won 42 headers, one dribble and 34 tackles.
Burke, who is just 19 years of age and can play as a centre-back or as a right-back, is on loan at League One outfit Bradford City from West Ham at the moment.