I don't have anything for this season, but the Carolina Hurricanes had the fewest shots-against by a team with 2,023+ shots against in 2023-24, with 2,101 against.

Interpreted as:

least shots allowed 2023 or more team this regular season

	TEAM	SA	SEASON	GP	W	L	OTL	PTS	PTS%	SOW	SOL	G	GA	DIFF	PP%	PK%	S/GP	S%	SA/GP	SV%
1	Hurricanes	2,101	2023-24	82	52	23	7	111	.677	2	5	277	211	66	26.9	86.4	33.33	10.1	25.62	.900
2	Flyers	2,225	2023-24	82	38	33	11	87	.530	4	3	231	258	-27	12.2	83.4	33.02	8.5	27.13	.884
3	Panthers	2,279	2023-24	82	52	24	6	110	.671	3	2	265	198	67	23.5	82.5	33.71	9.6	27.79	.913
4	Kings	2,296	2023-24	82	44	27	11	99	.604	2	5	254	210	44	22.6	84.6	31.90	9.7	28.00	.909
5	Oilers	2,307	2023-24	82	49	27	6	104	.634	2	1	292	236	56	26.3	79.5	33.74	10.6	28.13	.898
6	Canucks	2,340	2023-24	82	50	23	9	109	.665	0	2	279	221	58	22.6	79.1	28.39	12.0	28.54	.906
7	Stars	2,350	2023-24	82	52	21	9	113	.689	4	2	294	232	62	24.2	82.0	31.55	11.4	28.66	.901
8	Kraken	2,391	2023-24	82	34	35	13	81	.494	3	4	214	232	-18	20.7	78.8	28.62	9.1	29.16	.903
9	Sabres	2,401	2023-24	82	39	37	6	84	.512	2	1	244	243	1	16.6	79.8	30.90	9.6	29.28	.899
10	Rangers	2,418	2023-24	82	55	23	4	114	.695	4	3	278	226	52	26.4	84.5	31.49	10.8	29.49	.907
11	Jets	2,429	2023-24	82	52	24	6	110	.671	0	1	259	198	61	18.8	77.1	30.34	10.4	29.62	.918
12	Lightning	2,430	2023-24	82	45	29	8	98	.598	3	1	288	267	21	28.6	83.3	29.29	12.0	29.63	.890
13	Senators	2,432	2023-24	82	37	41	4	78	.476	5	0	250	281	-31	18.0	75.1	31.73	9.6	29.66	.884
14	Wild	2,437	2023-24	82	39	33	10	88	.537	3	3	248	260	-12	22.7	74.5	30.13	10.0	29.72	.893
15	Flames	2,438	2023-24	82	38	39	5	81	.494	0	4	253	267	-14	17.9	80.8	31.37	9.8	29.73	.890
16	Avalanche	2,444	2023-24	82	50	25	7	107	.652	2	2	302	252	50	24.5	79.9	32.99	11.2	29.80	.897
17	Maple Leafs	2,447	2023-24	82	46	26	10	102	.622	5	2	298	261	37	23.9	76.9	32.60	11.1	29.84	.893
18	Devils	2,460	2023-24	82	38	39	5	81	.494	0	2	264	281	-17	22.4	80.7	30.68	10.5	30.00	.886
19	Penguins	2,479	2023-24	82	38	32	12	88	.537	2	3	253	248	5	15.3	80.7	32.76	9.4	30.23	.900
20	Golden Knights	2,487	2023-24	82	45	29	8	98	.598	4	2	263	243	20	20.2	79.3	31.07	10.3	30.33	.902
21	Capitals	2,503	2023-24	82	40	31	11	91	.555	4	5	216	252	-36	20.6	79.0	26.49	9.9	30.52	.899
22	Bruins	2,504	2023-24	82	47	20	15	109	.665	4	3	263	221	42	22.2	82.5	29.22	11.0	30.54	.912
23	Predators	2,507	2023-24	82	47	30	5	99	.604	3	0	266	248	18	21.6	76.9	32.22	10.1	30.57	.901
24	Coyotes	2,598	2023-24	82	36	41	5	77	.470	2	0	254	274	-20	22.0	76.3	27.72	11.2	31.68	.895
25	Blues	2,635	2023-24	82	43	33	6	92	.561	5	2	234	248	-14	18.0	78.6	28.90	9.9	32.13	.906