Current manager Christian Chukwu, who is expected to deputisefor the foreign appointee, said training plans for the Nations Cup will not be finalised until the arrival of the new coach.
Bopara has taken Flintoff's place in the side for the fourth Test, in which England amassed 301-3 in the first day, and is likely to deputisefor him again for the final Test in Trinidad which starts on 6 March.
Matthew Upson will deputisefor King and Carragher against Slovenia and is likely to partner John Terry - who was first out on the training pitch as he attempts to move on from the headlines of the last few days - in the centre of defence.
The 31-year-old was quickly replaced in the squad by Tottenham's Michael Dawson who arrived on Saturday, while Capello will likely pick Ledley King, Jamie Carragher or Matthew Upson to deputise in central defence for England.