There are two solutions that can address this issue.
Have your updated phone number on both websites based on the country you are living in.
This will help your customers understand to reach out to you on your alternate phone number, when the first one they dial/text does not work. (But if the international charges are high, giving option such as Whatsapp Text/Call would work. Could use 'Whatsapp for Business' as well to address customer queries at one place.)
Push out a store wide notification on your local website about the contact number to reach out to you while you're in another country
This will help your customers understand that they have to text/call to reach you on the notified number. (Do not use popups as they are annoying for the users)