The Juventus centre-back was incensed by the actions of Suarez and tried to show the official the marks that were left by the act.
However, Suarez stayed on the pitch and La Celeste eventually went through at the expense the Azzurri thanks to Diego Godin's header.
Warnock told talKSPORT that he feels Suarez's actions were designed to try and earn a move to Barcelona or Real Madrid this summer.
He said: “It wouldn’t surprise me if it [the bite] was planned. If all of these big clubs are after him, then it doesn’t surprise me at all.
“He may get banned for Uruguay but would still be able to play for a club. It wouldn’t surprise me if it was a clever act.
“If there was any chance of Barcelona or Real Madrid coming in for him, he would be determined to get away this summer."
Warnock's words don't tally. As Uruguay toiled to no avail against Cesare Prandelli's side in Brazil, it is highly unlikely that Suarez's thoughts were on his future at Liverpool.
Oscar Tabarez's men were 12 minutes from a group-stage exit and having fought so hard to get fit for the tournament after having knee surgery a month ago, Suarez's anger boiled up as the red mist descended for a third time.
A player as fulsome and passionate as Suarez is, it is improbable that he was thinking about anything other than qualification against Italy, and while his actions were shameful and tawdry, they were the manifestation of a maddening frustration more than anything else.
It was the fear of failure with his beloved nation that drove him to his latest low, rather than a cerebral and calculated attempt to seek pastures new.