The French winger has been linked with a move away from the DW Stadium all summer and Birmingham boss Alex McLeish heightened the speculation yesterday by revealing his club had put in a new bid.
N'Zogbia is now set to talk to the midlands outfit after Wigan confirmed they have accepted an improved offer for the 24-year-old.
On your bike: Charles N'Zogbia is heading to the West Midlands
A club statement read: 'Wigan Athletic can confirm that they have accepted a much improved offer from Birmingham City for France winger Charles N'Zogbia, which has now met the club's valuation. The player has now been given permission to speak with Birmingham.'
Wigan manager Roberto Martinez yesterday criticised his Birmingham counterpart McLeish for going public over his club's interest in the player - and claimed the Blues' offer at that point was less than one they rejected earlier in the summer.
The Spaniard said: 'We had a couple of offers in May and now the offer is less than the one we had in May and then they go public in the press. It doesn't look serious to me.
'The valuation is very clear. If the team matches it he can speak with them. Until that happens he is a Wigan Athletic player. The transfer window brings you that distraction but when you get other managers talking about your players, that is really disappointing - to unsettle players and the press with no substance behind it.
'I don't know the reason behind it, whether it is to get the fans' hopes high in your football club, I don't know. Charles has had a difficult few days and it is our fault. We should not allow the transfer window to be open when the competition is ongoing.
'I don't think it is respectful to the league or the fans and it needs to be considered by the authorities.'
N'Zogbia, who made his France debut earlier this month in Les Bleus' friendly defeat in Norway, started out in English football at Newcastle following his 2004 move from Le Havre.
He moved to Wigan in January 2009 after falling out of favour at St James' Park and was voted player of the season by players and fans at the DW Stadium last term.
Wigan boss Martinez hits out at Birmingham over N'Zogbia interestMcLeish raises stakes in N'Zogbia chase with improved bid for wingerClub-by-club Premier League guide to every transfer deal in summer 2010WIGAN ATHLETIC FC