can a bank force you to close your old credit card account after a balance transfer?

I’m planning to do a transfer balance to a credit card from a credit union since their rates are much cheaper. However, the credit union said if you do a transfer balance with them, I would have to close my account with the previous card company. From my understanding, if you close an account it could hurt your score. Can I be denied a balance transfer if I don’t close my account with the old card company and does the credit union/bank have authority to close the old account if I don’t?

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