It follows the postponement of Liverpool FC Women’s game against Birmingham City on Sunday after the referee deemed part of the surface unplayable.
Moore, also chairman of Liverpool Women, said: “We know how frustrating this is for supporters as well as the players and staff of both clubs who have put in a hard week of preparation for the game.
“I speak regularly with Mark Palios at Tranmere and we had a solid pitch on Saturday but overnight rain saw it deteriorate despite the best efforts of all the hard-working grounds staff at Tranmere acting in conjunction with our own grounds team.
“While these problems are not unique to us – with other Women's Super League games called off both on Sunday and earlier this season – we need to try to find a solution to provide our LFC Women with the surface they deserve.
“To that end we will continue to explore all the options open to us.”