Scrumhalf Parra has pulled of the June series away to the world champions because of a thigh injury, the French federation said in a statement on Sunday.
Parra's injury worsened during Clermont's defeat against Castres in a Top 14 semi-final on Saturday.
"It is better that he rests," France manager Philippe Saint-Andre said.
Stade Toulousain's Doussain, who was on the replacements' list, won his only cap when he replaced Dimitri Yachvili in the 76th minute of the 2011 World Cup final won 8-7 by New Zealand.
France take on the All Blacks on June 8, 15 and 22 in Auckland, Christchurch and New Plymouth respectively.
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