claimed at 15:40 near Geilenkirchen was not confirmed. In total, he had claimed six aerial victories that day, four confirmed and two were unconfirmed, bringing his total to 58 aerial victories. Glunz was transferred to 6. Staffel on 25 February where he was appointed deputy Staffelkapitän to Leutnant Friedrich Lange. Command of 5. Staffel was passed to Hauptmann Walter Matoni. On 2 March, Lange was killed in action and Glunz was officially appointed Staffelkapitän of 6. Staffel on 3 March. He was promoted to Leutnant (second lieutenant) on 1 April 1944. In preparation of Operation Overlord, the Allied invasion of German-occupied Western Europe, the Eighth Air Force and the Allied Expeditionary Air Force, began attacking Luftwaffe airfields in France and Belgium on 9 May. Glunz led II. Gruppe that day and joined up with fighters from I. Gruppe of JG 26. In the first attack on the bombers, Glunz shot down a B-24 bomber from the 466th Bombardment Group (Heavy) east of Turnhout. On his second attack, he shot down another B-24 bomber belonging to the 453rd Bombardment Group south-southwest of Turnhout. Two days later he was credited with an Herausschuss of a B-24 bomber from the 44th Bombardment Group northeast of Châteaudun. On 6 June, Allied forces launched the Normandy landings, and II. Gruppe moved to an airfield at Guyancourt. During the relocation flight from Mont-de-Marsan Airfield, Glunz spotted a flight of North American P-51 Mustang fighters strafing ground targets near Rouen. In this melee, Glunz damaged a P-51 and then broke off the attack. Four days later, Glunz claimed three aerial victories over P-47 fighters from the 365th Fighter Group. The aerial combat took place between the Orne Estuary and Lisieux. On 18 June, Glunz and his wingman Unteroffizier Gerhard Lissack encountered two RCAF No. 414 Squadron P-51 fighters on a aerial reconnaissance mission and near Coutances. Both Glunz and Lissack were credited with one aerial victory each. This was Glunz's last combat mission for some time. He then attended a war officers training course and was taken off combat duties. Glunz was awarded the Knight's Cross of the Iron Cross with Oak Leaves () on 24 June 1944 after 65 victories. The award was officially presented at the Führerhauptquartier at Rastenburg on 2 August 1944 by Adolf Hitler. Also present at the ceremony were Friedrich Lang, Erich Hartmann and Heinz-Wolfgang Schnaufer who receive the Knight's Cross of