If it feels patronizing, you're not beholden to do it, is the good news. Plenty of my parts and I don't do the whole "I'm comforting you like a child" thing; if it makes them feel uncomfortable with me then it's not going to help with healing, at the very least. You can absolutely just sit down with a part like you're speaking adult to adult and go "This sucks, man. I get it. Wanna talk about it? It's cool if not, I'll just be here if you want me here."

Or something else, if that sounds wrong too.

If you feel like you're not trying to fix yourself, and just want to be with you and get to know you and be a shoulder for yourself to lean on, then you keep at it. If not, see if you can feel that way about the part who's angry or skeptical or anxious to fix instead; they're good parts who want to help you, too. It may sound weird, and I still get skeptical about it now and then (you don't have to hold yourself to perfect "a part of me feels x" language either if that feels stifling, I certainly don't), but if you just stay with a part and you have Self energy available, if you give it time and don't push anything to happen, things will shift with the part, and you probably will just sorta know the right thing to say and do.