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. MoneyGram's consumers and agents expect reliability and safety and that is precisely what MoneyGram continues to deliver, transaction by transaction. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. Money orders and official checks by MoneyGram continue their steady performance and expanded line of bill payment services deliver excellent results. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min).