I'm assuming you want to use the linux shared hosting.
If that's the case, when you purchase a hosting plan for a year, you get a free domain. Just pick any domain, later you can change that to your old domain.
After purchasing the plan, you can change the domain associated with the hosting plan. In order to do that, go to your gateway page, and click Settings under your hosting plan. A modal popup will show up, and there you can change it's primary domain to other domain that you have in your account.
Hope it helps!
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