If you need to cancel or change a transaction, then you should contact by telephone with the MoneyGram branch agent, made the transaction for you. AgentConnect continues to be an attractive alternative for businesses that choose to integrate their networks and point-of-sale platforms with the MoneyGram wired transfer. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. Millions of families depend on MoneyGram to safely send money home or pay the bills. MoneyGram company operates around the clock and all 7 days a week, so the time of money transfer takes only 10 minutes.