Can Mail fetch email signature set using Google Mail?

My organisation's people use a mixture of Apple Mail and Gmail.com as a client for our Gmail addresses. We use a GSuite app to set peoples' Gmail signatures, which works great for those sending email from Gmail.com, but the signature is not 'imported' by Apple Mail. This means people have to manually copy their Gmail signature into the Apple Mail signature preferences. Is there any way to remedy this? I understand that this may not be a shortcoming of Apple Mail, but a shortcoming of Gmail.