N'Zogbia, who signed a five-year deal at St James' Park in September 2007, has made 142 appearances for the Magpies, 39 of them as a substitute.
Although originally signed as a winger, N'Zogbia has been used both in midfield and at left-back by Newcastle this season.
Kinnear said he wanted to keep his first-team squad intact in January.
"My aim, whatever time I have here, is to build up our squad and not to get rid our any of our first-team players," he added.
Kinnear has submitted a list of transfer targets to Newcastle executive director Dennis Wise, but has admitted he will have to sell players before he can buy.
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