DUE TO A LACK OF COM FOR HDOF; ARTCC DID NOT KNOW IF AN SMA TRAINING ACFT HAD MADE A LNDG AT AN ARPT ON THE FILED FLT PLAN.

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THIS WAS A ROUTINE TRAINING FLT WITH MY STUDENT WHICH WAS TO INCLUDE AN APCH INTO CGI; GO MISSED; AND CONTINUE TO VIH FOR THE SECOND HALF OF OUR FLT PLAN. ZME ASKED US TO GET CURRENT INFO FROM CGI AND RELAY THIS INFO BACK TO THEM. HOWEVER; WHAT WE WERE NOT INFORMED FROM NOTAMS OR MEMPHIS; COM BTWN THE CGI TWR AND ZME WERE OTS SINCE THE NIGHT BEFORE. I INFORMED ZME WE WOULD LIKE TO EXECUTE THE ILS 10 INTO CGI; GO MISSED; AND CONTINUE ON OUR FILED FLT PLAN. HE TOLD ME CGI TWR WOULD HAVE TO APPROVE THAT APCH; WHICH I REALIZED. ZME GAVE ME MY CLRNC TO VIH EVEN THOUGH IT WAS ALREADY ON FILE. FROM THERE; I WAS RADAR VECTORED FOR THE ILS 10 AND THEN CLRED FOR THE APCH. I WAS THEN TOLD TO CONTACT THE TWR AND TWR CLRED ME TO LAND. AFTER LNDG; TWR TOLD ME TO TAXI CLR OF ACTIVE. AT THIS POINT; I'M STARTING TO REALIZE SOMETHING WAS NOT RIGHT. AFTER SHUTDOWN; I WENT TO CALL FSS BUT ALL LINES TO THE OUTSIDE WERE OUT -- EVEN THE TWR. THIS MEANT I WOULD NOT BE ABLE TO TKOF AND CONTINUE MY FLT; BECAUSE IT WAS IFR AND OTHER PLANES WERE POSSIBLY TRYING TO GET IN. HOWEVER; I WAS ABLE TO TALK WITH A COMMUTER PLANE OVER THE UNICOM FREQ. HE NEEDED TO GET IN CGI AND DID NOT KNOW IF I HAD LANDED OR NOT. HE RELAYED THE MESSAGE BACK TO ATC THAT I HAD LANDED SAFELY. HE GAVE TWR A CLRNC VOID TIME FOR ME FROM ATC. TWR WANTED ME TO INFORM ZME; AFTER MY DEP; THE COMMUTER AIRPLANE HAD LANDED SAFELY. WE ALL HAD TO WORK TOGETHER AS A TEAM TO MAKE THE SIT WORK. I BELIEVE IF I HAD KNOWN ABOUT THE COM OUTAGE; I WOULD HAVE INFORMED TWR I WAS JUST GOING TO DO A STOP AND GO AND CONTINUE ON MY FLT. I WILL DEFINITELY USE THIS AS A LEARNING EXPERIENCE. THE REST OF THE FLT WENT GREAT.