the practical reality here is that companies will absolutely hire you, but you'll likely face one friction point that earlier answers didn't quite address: your resume and cover letter need to speak their language, not education's. A "unit plan" becomes a "learning objective" or "training module." You didn't do "classroom management" - you "facilitated engagement in diverse learning environments." This translation matters because HR systems and hiring managers scan for specific corporate L&D terminology, even if you're doing conceptually identical work. Spend time on a few job postings and literally map your teaching skills to what they're asking for.
On the software side, most corporate roles expect basic competence in their learning management systems (LMS), but as mentioned, that's learned on the job or through free trials. Where I'd push back slightly on "no need to prepare" is this: picking up one certification ahead of time - something like Google's Project Management Certificate or a quick IDOL (Instructional Design Online Learning) primer - doesn't take long and removes a hiring objection. You don't need a full degree, but one credential signals you're serious about the pivot and fills the gap between "I taught teenagers" and "I'm ready for corporate training."
Your real advantage is soft skills. You know how to handle resistance, adapt mid-lesson, and read a room. Corporate training fails constantly because designers have never stood in front of people who don't want to be there. You have. Start applying now, customize each application, and use interviews to ask about their actual onboarding process for new trainers. That's how you'll figure out if a specific role expects you to hit the ground running with their tools or if they'll train you.