Former Sheffield United boss Warnock was sacked after Tevez helped West Ham stay in the Premier League at the expense of the Blades in 2007.
It was later discovered that the Hammers' signing of the Argentina international broke official rules and, as a result, Sheffield United have earned out-of-court compensation.
However, Warnock - who has contacted the League Managers' Association regarding the subject - could still pursue a personal claim against the Blades.
"I've been in contact with the LMA and I am leaving it in their hands at the minute," he told Sky Sports News.
And Warnock is not concerned that he might receive the wrath of opponents for refusing to allow the matter to pass.
"I get criticism one way or another," he added. "I've got supporters and I've got people who will always slaughter me. Nothing's changed."