"We've had two bids turned down for Michael Symes," Town chairman John Fenty told the Grimsby Telegraph. "The first involved a player and the second was a six-figure bid without a player.
"Those have both been refused but we'll keep working on things. We're doing our best to back the manager and bolster the squad."
Boss Neil Woods, who has also quashed rumours linking his side with Simon Richman, Janos Kovacs and Nick Chadwick, added: "There has been interest on our part with regards Michael. But he is contracted to Accrington Stanley and I don't want to talk about another club's player."
Meanwhile, Woods has confirmed he will not be pursuing his interest in Tam McManus, but Ross Campbell has joined the club on trial.
Source: Team Talk