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 For the company MoneyGram is important not only to provide customers with an easy and convenient way to carry out money transfers and support their families at home, but also to help them as much as possible to adapt to the foreign countries. What are the main benefits of money transfers by MoneyGram? Reliability - the international payment system gives complete assurance that the money will be paid to the recipient. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min).