How can I operate Telephony Card without using Asterisk

Hello,

How can I operate Analog Telephony Card with AT Commands without using Asterisk?

You need to consult the manufacturer. They may well not be interested, unless you are going to buy in large volumes.

I guess the Digium cards are well enough documented, by the dahdi code, that one could create suitable Linux device drivers, but this forum is not going to be the right place to find them.