Wearing a CAB without deployment patch

Regulation actually states that you may NOT be required to wear a combat patch, period. So they can question how you earned it, but all you gotta do is say you just don't wear your combat patch, although you are authorized one. I processed a few recommendations for CAB and nowhere in the paperwork I filled out do I recall it asking if the Soldiers had been authorized a combat patch. Hell, you can technically earn a CAB without meeting the time in country requirements for a combat patch. To earn a CAB, you only need ONE major incident, so someone could fly in for a special event, come under fire that qualifies, then depart after it is all over! I doubt it's ever actually happened, but it's possible!

Wow SGT Wallace, it call comment cents therefore AR670-1 can explain it clearly but I am confused when a NCO ask shut questions wow!!!

You are not required to wear your former wartime service shoulder sleeve insignia FWTS/SSI commonly called combat patch or deployment patch assuming you're authorized to wear one to begin with. Most people choose to wear theirs some choose not to, technically the only identifying marks that you are required to wear on your uniform or your name tape US Army tape rank current unit patch and the US flag , however as many have already stated if you are wearing a CAB and don't have your combat patch on it is going to raise a question whether or not you're a px Ranger. And don't have your combat patch on it is going to raise a question whether or not you are a PX Ranger.
If and when the Army chooses to change the regulation when it comes to your particular issue then it'll be clear, until then using a little bit of Common Sense that would have Ward you getting hemmed up as you stated goes a long way. Now I'm not saying that the individual who corrected you did it in the right way or maybe they did but if somebody is doing on the spot correction and especially if they are ranked you you can just calmly explain yourself and make the correction necessary. In my humble personal opinion if you're not going to wear one the one where the other.

Likely a unit guidance. Both units I was apart of verbally discouraged wearing a CIB without wearing a right sleeve patch. I know several people I deployed with who disagree with the guidance and don't wear either a CIB or right sleeve patch as a result.

So you are in essence saying that the Badge is great, but you are ashamed of serving in the unit that enabled the badge? Think, if I saw you on the street without both, you would likely have been be in my office making an explanation. It screams of possible stolen valor, or impersonation.

What is a "deployment patch"?

There is no requirement for wear of the deployment patch and orders are not created to authorize it. Soldiers are also not required to wear one, and if they can wear more than one then Soldiers can alternate from one to another, but they cannot wear more than one at a time. AR 670-1

Congrats on your CAB

You will not find anything stating they must be worn together. If you are authorize to wear one, or many, SSI-FWTS you have the option of wearing which ever you choose or none at all. Unfortunately there are those in command who think they have the power to tell you which one to wear while under their command. What's even more unfortunate is there some leaders are too weak to challenge a policy that is not ligit.

There isn't.

In my personal opinion I'd say they go hand in hand. Wear both your combat patch and CAB or don't wear either. You may not be proud of your combat unit but be proud for your own personal service and for your brothers and sisters in arms from your combat unit that didn't have a chance to wear their deployment patch because they didn't come home.