The winger, who was released from Villa Park in the summer, is currently without a club following the start of the season.
The 30-year-old's agent has been sounding out interest in his client and Nantes have made a concrete offer of a one-year deal.
But, according to L'Equipe, N'Zogbia has stalled on putting pen to paper with the French side.
After a miserable season with Villa, where he made just two appearances last term, the former Newcastle and Wigan man is reportedly reluctant to rush into joining his next club.
As a result N'Zogbia is said to have asked his agent to delay the signing of any paperwork until Monday, so he can fully think over the switch.