I am in the process of applying for graduate programs at various universities. Given the importance of research in some graduate programs, I have been searching for professors/potential mentors when I came across a particular professor whose work impressed me immensely. I got in touch with the professor to discuss my application.
Now this is where the tricky part begins. The professor informed me that they will be moving to another university shortly and will not be accepting mentees anymore at their old university. Luckily, I had submitted my application for their new university a few days back. Is it okay to ask them to consider my application as a part of an application different from the one I had initially approached them for? My desire to carry work under them is genuine but will doing something like this make me look too opportunistic of unscrupulous?