Manager Alan Pardew has brought in Chinese captain Zheng Zhi during the transfer window, but is looking for more players to strengthen the squad.
Bougherra is one of his main targets but Wednesday chief executive Kaven Walker stated that the 24-year-old is not for sale.
It is also believed that Pardew is close to completing the loan signing of Sevilla striker Kepa Blanco.
After missing out on Arsenal youngster Anthony Stokes, who went to Sunderland, the Addicks boss is still looking for a replacement for the injured Darren Bent and Charlton will beat Everton and Manchester City to Blanco's signature.