In June 1941, Zchukovskiy belonged to the 127 IAP of the 11 SmAD.

On 22 June 1941, he flew nine missions in the Grodno area and was involved in combat in all of them. He claimed four victories during the day, all of them while flying Polikarpov I-153s.

The 127 IAP made claims for 20 enemy planes on 180 sorties on the first day of the German invasion. In fact German losses had been quite low that day, amounting to perhaps a tenth of the total Soviet claims, the general chaos and heat of combat leading to some disproportionate overclaiming.

On 8 July 1941, he was awarded the Order of the Red Banner.

He was then posted to the 13 IAP.

On 8 February 1943, he claimed an enemy aircraft over Krasnyi Sulin while flying a La-5.

Later in the war, he served in 41 GIAP and 88 GIAP.

Zchukovskiy ended the war with 4 biplane victories and a total of 5.
During the war, he also claimed 4 shared victories.

Claims:

Kill no.	Date	Time	Number	Type	Result	Plane type	Serial no.	Locality	Unit
	1941
1	22/06/41		1	Enemy aircraft	Destroyed	I-153		Grodno	127 IAP
2	22/06/41		1	Enemy aircraft	Destroyed	I-153		Grodno	127 IAP
3	22/06/41		1	Enemy aircraft	Destroyed	I-153		Grodno	127 IAP
4	22/06/41		1	Enemy aircraft	Destroyed	I-153		Grodno	127 IAP
	1943
5	08/02/43		1	Enemy aircraft	Destroyed	La-5		Krasnyi Sulin	13 IAP

Biplane victories: 4 destroyed.
TOTAL: 5 and 4 shared destroyed.

Sources:
Aerohobby No.1'94, kindly via Alexey Andreev
Stalin's Eagles - Hans D. Seidl, 1998 Schiffer Publishing, ISBN 0-7643-0476-3
Additional information kindly provided by Ondrej Repka and Yuri V. Shakhov.