C750 CREW FOUND THEY DID NOT HAVE A PROPER 'TN' NUMBER FOR A FLT FROM LGA TO TEB.

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ON THE MORNING OF 12/TUE/01; WE WERE SCHEDULED FOR A XA00 AM FLT FROM ZZZ TO ZZZ1. WE PERFORMED OUR PREFLT DUTIES; I PREFLT THE ACFT; THE CAPT OBTAINS WX; FILES FLT PLANS AND PERTINENT INFO. UPON REVIEW OF WX AND NOTAMS; NOTHING IS PRINTED OR IN OUR NOTAM BOOK OF THE RESTR AIRSPACE AROUND ZZZ3. OUR PRINTED INFO FROM A COMMERCIAL AIRLINE SVC AND ZZZ2 STATE NOTHING ABOUT THE RESTR AIRSPACE AROUND ZZZ3. OUR FLT DEPARTMENT CALLED ZZZ1. FOR ARR AND DEP RESERVATIONS AND NOTHING WAS STATED ABOUT THE RESTR AIRSPACE AROUND ZZZ3. FBO WAS ALSO NOTIFIED. OUR FLT WAS AS NORMAL AS COULD BE; VFR; CLR; AND SMOOTH. AFTER LNDG; WE TRIED TO RECEIVE CLR ONCE DELIVERY AT ZZZ4 WHICH WAS OUR FINAL DEST FOR THE DAY. WE WERE ASKED IF WE HAD A TN NUMBER OR WAIVER WHICH WE BELIEVED OUR ARR OR DEP RESERVATION NUMBER WOULD BE. WE FOUND OUR IT WAS NOT. WE BELIEVED WE HAD ALL THE PERTINENT INFO FOR THE SAFETY OF FLT. NOTAMS FROM ZZZ AND A COMMERCIAL AIRLINE SVC HAD BEEN CHKED ALONG WITH PRINTED FDC NOTAMS IN OUR OFFICE BEFORE WE DEPARTED. WE HAVE AN EXCELLENT PROFESSIONAL FLT DEPARTMENT. WE WOULD NOT KNOWINGLY FLY TO ZZZ1 HAD WE NOT THOUGHT WE HAD ALL THE AUTHORIZATION TO DO SO. IF THE NOTAM HAD BEEN MORE AVAILABLE AS TO A STANDARD NOTAM; SUCH AS OUR MEANS OF OBTAINING WX; AND NOTAMS I FEEL WE WOULD HAVE NOT PROCEEDED. WE PROCEEDED BELIEVING WE WERE AUTHORIZED.