Maybe something like this, it removes all leading zeroes except where a value is all zeroes:
CREATE TABLE #Inventory(
ItemNum nvarchar(400),
action_desc varchar(100)
);
INSERT INTO #Inventory
VALUES
('143545043', 'All digits - No leading zeros'),
( '345230', 'All digits - No leading zeros'),
('00345230', 'All digits - Leading zeros - repeated value'),
('012234567', 'All digits - Leading zeros - unique value'),
('001542AS1', 'Alphanumeric - Leading zeros - unique value'),
('ASDF123', 'Alphanumeric - No leading zeros'),
('0000000', 'Do nothing - All zeros');
SELECT *, PATINDEX('%[^0]%',i.ItemNum) FROM #Inventory i;
UPDATE i SET
ItemNum = stuff(ItemNum,1,PATINDEX('%[^0]%',i.ItemNum),'')
FROM #Inventory i
WHERE
i.ItemNum like '0%'
AND PATINDEX('%[^0]%',i.ItemNum) > 0;
SELECT * FROM #Inventory;
GO
DROP TABLE #Inventory;
GO