My son transferred after the end of his freshman year. He started sending out transfer apps early March, and did reapply to schools who had accepted him the year prior. He ended up attending a school that had previously accepted him. In fact when he made his decision the year prior, his top two choices were the school he originally attended freshman year, and the school that he transferred to as a sophomore.
As a parent I had reservations about the school he chose to attend as a freshman. I kept my mouth shut and let him make his own decision. But there were red flags for me that it wasn’t the best fit for him, and that the school he turned down was actually the better fit.
Transferring was the best choice for my son, and he has flourished at his transfer school. He is very social and outgoing, and even still it was HARD to start over. It wasn’t all roses the first couple of months, but once he hit his stride it really came together for him.
I would advise your child to give it at least a semester to decide if they want to stay. Some schools might not be as welcoming to a spring transfer, so they may have more options to transfer as a sophomore. Transferring comes with its own stresses, but can also be big reward if the next school is truly a better fit. I wish you and your child all the best.