A321 pilot reported on final; irregular ECAM EGT indications directing engine shutdown resulted in continued safe landing.

Narrative

During a manual approach with autothrust off an EGT exceedence was annunciated on engine #2. The thrust was at idle; aircraft fully configured; speed reducing to Vapp. When the engine instruments were scanned; engine #1 EGT was just below the limit; and engine #2 was exceeding the limit with both thrust levers at idle. An ECAM was directing us to shutdown engine #2. ATIS reported VFR conditions; but approaching 700 feet; with this EGT condition; the runway was still not in sight. Engine #1 thrust was advanced to maintain Vapp; rudder input to correct the yaw; and the approach continued. Very shortly the runway became visible. Sometime on short final both EGTs appeared to indicate normal readings. We briefly discussed the ECAM; and chose to continue without shutting the engine down at this stage of the approach. A normal taxi in was completed; Maintenance advised; and the discrepancy entered into the logbook. The aircraft generated a report; which was printed; and left with the logbook; and photographed for future reference.