Thorpe, the former England and Sussex batter who has also coached the England Cricket team was announced to be dead by the ECB
England trails New Zealand by 16 runs after the end of Day 1 play.
Thorpe played 100 Tests for England between 1993 and 2005, averaging 44.66 with 16 centuries. The 52-year-old was recently announced as the new head coach of Afghanistan.
Alec Stewart is learnt to be keen to take over the responsibilities on an interim basis as England coach for the three-Test series against West Indies.
Commenting on the issue, Graham Thorpe said more effort would be made at inspecting a player's social media history in future to avoid such controversy.
Thorpe claimed that Bairstow would be available for the second Test against India which starts on February 13 in Chennai.
It was Day 5 of the third Test, which was the last match of the series and a 'Chinese cut' from Graham Thorpe's bat off Saqlain Mushtaq pocket England a historic win to remember.
Michael Vaughan says Tom Banton is "a bit like Kevin Pietersen in the way he hits the ball and sets up".
Smith followed up his first-innings 144 with 142 as Australia set England a target of 398.
England may change a winning World Cup side by recalling fast bowler Mark Wood when they face Pakistan at Trent Bridge on Monday.