ZFW ASSOCIATE CONTROLLER; PROVIDING OJT; DESCRIBED OPERATIONAL DEVIATION WHEN DESCENT CLEARANCE WAS ISSUED WITHOUT APPROPRIATE COORDINATION.

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I WAS PROVIDING TRAINING WHEN ACFT X CHKED ON FREQ AT 13000 FT FROM ZHU 4000 FT. ACFT X REQUESTED A DSCNT SO MY TRAINEE POINTED THE ACFT OUT TO POLK APCH AND THEN APCH REQUIRED A DSCNT TO 6000 FT WITH SHV APCH. AT THIS TIME A CLRNC WAS GIVEN TO ACFT X TO DSND TO 6000 FT; WHICH I COULDN'T HEAR. THE RADAR CTLR WHO WAS ALSO PROVIDING OJT INSTRUCTION ASKED IF WE HAD CTL FOR DSCNT FROM ZHU 4000 FT WHICH I REPLIED THE ACFT WAS IN OUR AIRSPACE AND DIDN'T NEED CTL. AT THIS TIME I DIDN'T KNOW THAT THE DSCNT CLRNC HAD BEEN ISSUED. BECAUSE OF THE CONFIGN OF THE SECTOR IN RELATION TO THE SUPVR DESK BEING WHERE I WOULD NORMALLY NEED TO SIT; I CANNOT GET CLOSE ENOUGH TO THE SECTOR TO HEAR THE CONVERSATION BTWN THE D-SIDE AND THE R-SIDE CTLRS. I ALSO AM PUSHED FAR ENOUGH OUT IN THE AISLE AT AN ANGLE THAT THE ABILITY TO ACCURATELY SEE WHERE A TARGET IS IN RELATION TO AIRSPACE IS IMPOSSIBLE. WE HAD A CHK RIDE GOING ON; ON THE R SIDE; SO WE HAD 5 PEOPLE PLUGGED INTO THE SECTOR WHICH PUSHED ME OUT INTO THE MAIN WALK AISLE THROUGH THE CTL ROOM. AT NO TIME DID I EVER HAVE THE ABILITY TO HEAR THE D-SIDE TELL THE R-SIDE THAT THE ACFT WAS HIS CTL FOR DSCNT AND FROM THE TIME OF COORD WITH SHV APCH THAT DSCNT TO 6000 FT WAS APPROVED TILL THE TIME THE CLRNC WAS ISSUED WAS APPROX 5 SECONDS. DUE TO THE SECTOR AND CTL ROOM CONFIGN; I NEVER HAD A CHANCE TO PREVENT THIS DEV FROM HAPPENING.