Well it depends on which version of Android you are using. You need to have "Marshmallow". Also, that particular manufacturer does tend to make their devices unable to make the SD card "Internal" storage, so I would be very shocked if you could before. The only way to make the card "Internal" instead of "External" storage is by following the information I will include in this post. Anything else would require rooting the device, which is not advisable as it will void any warranty and it can also damage the phone.
If the card is still allowing the apps you say you moved before to work, and they weren't apps that can move on any old device (there are those too) then the card should still accept new installed apps. However the card would...