Harry Brook's impressive run for England saw him earn a contract with SRH in the Indian Premier League for a sum of 13.25 crore.
Ben Stokes hasn't played competitive cricket since July 26, when he played for Northern Superchargers in the Hundred due to an injury.
Many players are hesitant to travel because their families will be unable to accompany them due to Australia's strict restrictions.
Archer will see a medical consultant later this week to determine the next course of action on the management of his elbow.