OK. What type of phone system do you have? If you have an Avaya/Lucent Definity, chances are you have Definity Site Administration or Avaya Site Administration software laying around somewhere (DSA/ASA) they should have come with the switch when it was installed.
DSA or ASA allows for connection to a Definity via modem, data module, or TCP/IP. For the Definity, this requires a CNET card, which provides an ethernet connection.
For the Intuity Audix, it probably has an ethernet port on it already, you may want to check on the back, or contact your vendor to see if your unit included one. Most of the newer installations will.
That being said, you'll need to check if your Audix is connected to your network, and has an IP address. If so, you can use DSA or ASA to telnet into the Intuity Audix, using its own special emulation mode.
It's somewhat complicated... but works very well, and allows remote access from anywhere.
When I was employed at a University doing telecommunications work, I took my laptop with me everywhere... which had a wireless network card, allowing me to access the switch from anywhere, including manholes while doing splice work... that way we could turn ports on and off, etc. remotely. Works very nice. This post would be better placed in the Definity forum.