Ba has been on top form for the Magpies this season, scoring 11 goals, and Newcastle manager Alan Pardew has said Ba would be sold if he did not remove the £7.5million release clause in his contract.
Arsenal are among a number of clubs linked with the 27-year-old, but Wenger said he had no plans to sign him.
"I like Demba Ba, yes," the Arsenal manager said ahead of his team's match against Newcastle.
"I don't think [this] is the right place to speak about that, because he plays against us.
"I wouldn't like to put Newcastle or us or him in an uncomfortable position. If you ask me, `Do we sign Demba Ba?', I say no."
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- Demba Ba