Daniel Taylor, aged 22 and from Macclesfield, was convicted in December of burglary and arson at Chester Crown Court after admitting starting the blaze last July. The shop was gutted and a neighbouring flat had to be evacuated.
Ken Blair, chief executive of BHF shops, said: "As a result of the fire much needed income was lost. We are appealing to the people of Macclesfield to help rebuild our supplies by continuing to donate to other BHF shops."
Blair said the charity hoped that its Macclesfield shop would reopen within six months.
BHF shops raised £9.6m for the charity in the last financial year and are staffed by more than 10,000 volunteers.