However, the native integration that @Kaleudia mentioned would do the whole integration between platforms for you.
Before you are connecting this integration I will highly recommend you to double-check the actual records that will be integrated and how they would look like:
If i'd need to migrate only the engagement data like call logs, tasks , notes to zoho then is it possible through API? Second question is if we use the migration feature of hubspot then will this data be migrated as well or not ?
However, the native integration that @Kaleudia mentioned would do the whole integration between platforms for you.
Before you are connecting this integration I will highly recommend you to double-check the actual records that will be integrated and how they would look like: