The Latics have enjoyed a fine campaign and they are currently seventh in the Premier League table with European qualification still a realistic goal.
Manager Steve Bruce had been hoping to keep his squad together for the rest of the season but he was unable to prevent Emile Heskey and Wilson Palacios from leaving in the January transfer window.
Heskey joined third-placed Aston Villa, while Palacios was captured by Carling Cup holders Tottenham in a big-money deal.
Bramble said in the Daily Star: "Because we're doing so well in the league, everyone's coming to watch Wigan now and starting to realise how good our players really are.
"They want to see the players who are making us tick.
"Palacios and Heskey were two good players and they've been snapped up by Tottenham and Aston Villa."
Hard situationBramble accepts that some players may want to move on to a bigger club if the opportunity arises but understands that will make life more difficult for Wigan.
"No disrespect to Wigan, but we're not a massive club like Aston Villa or Tottenham," said the defender.
"We can push up the league and maybe get into Europe, which is fair enough.
"But some players want play in front of 50,000, others want to play in Europe.
"It's a hard situation. We're on the up but it's hard to keep hold of players because they want to play for the so-called bigger teams."