With ACF you can create theme options pages. Using ACFML you can make them translatable, however, there is some glitch which fortunately could be bypassed with some configuration.
If you create an options page and add a repeater field to it, it is possible that its subfields will always be copied, even if you translate their values. This happens if you set the main repeater field translation preference to “Copy”.
As a workaround, set the repeater field translation preference to “Copy once”. This will copy its subfields’ values only once. Then, you will be able to add translations that won’t be overwritten by the initial copied value again.
We are working on resolving this issue without the need for the configuration above. This errata will be updated once the issue is resolved.