The Bangladeshi cricketers feel England would be facing defeat in the second Test if the television referral system was in place in Mirpur.
Ian Bell, Matt Prior and Tim Bresnan survived close calls as England took a 21-run first innings lead at stumps on day three.
The Umpire Decision Review System can be used in any Test series, but the home board and home broadcaster are liable for the cost and implementation of the technology.
Captain Shakib Al Hasan says they would have appealed decisons 4 times and feel tv replays have shown they would have won at least 3 of them.
Bangladesh have previously only beaten fellow minnows Zimbabwe and a West Indies side decimated by contractual disputes, so a Test win over England would be hugely significant.