Welcome Koneko!
I experience a similar sensation all the time!!
Sometimes when I take a pill and I dont swallow it well, it feels like its stuck in the bottom of my throat, when in reality its not.
I think that I just dont drink enough water, so its goes down and 'scratches' the side of my throat and makes it feel stuck.
Also, sometimes when I get anxious I get a lump in my throat, which in return makes me want to gag, and I do sometimes...
but I've gotten much better about it.
I find that everyone with panic disorder experience a lot of the same symptoms, but also have individual symptoms that are a little different
than anyone elses.
What I find best to help out with this, is just to drink some water...
Hope this helps to reassure you that this is a 'normal' anxiety symptom!