Shey there's a structure in the arm named officially medial nerve

That's a great question for clarification!

No, there isn't an officially named structure in the arm called the "medial nerve" as a distinct, specific nerve like the median nerve or radial nerve.

• The median nerve (M-E-D-I-A-N) is a very specific and major nerve of the upper limb, as we discussed. It's one of the main nerves that runs through the cubital fossa.
• The term "medial nerve" (M-E-D-I-A-L) is not the official name of a single, distinct nerve. However, there are nerves that are medial in position, such as the medial cutaneous nerve of the arm (also called the medial brachial cutaneous nerve) and the medial cutaneous nerve of the forearm (also called the medial antebrachial cutaneous nerve). These are descriptive names based on their location (medial side) and the area they supply (arm or forearm).

So, if you see "medial nerve" in a context like the cubital fossa, it's almost certainly a typo for the median nerve.