Mark Hughes called for an end to the pre-match handshake after Anton Ferdinand snubbed John Terry and Ashley Cole ahead of QPR's 0-0 draw against Chelsea.
The decision to go ahead with the handshake had been taken by the Premier League before the match despite the rift that dates back to last October when Chelsea captain Terry was accused of racially abusing QPR centre-back Ferdinand.
England defender Terry has been cleared of criminal charges relating to the matter but still faces a Football Association charge over the incident.
The fractured relationship between the players was clear to see at Loftus Road on Saturday when Ferdinand ignored Terry and Cole, who appeared as a character witness in court for his club captain, while Ferdinand's teammate Park Ji-sung also rejected Terry's hand.
Hughes believes the ugly pre-match events reinforce the view that it is time to abandon the traditional greeting.
"You can't get too misty-eyed about the old days and how it used to be, a lot of things have moved on for the better. But I'm not sure about this," Hughes said.