Cole made an instant impression on his first game back at his former club, in the 2-2 FA Cup draw against Manchester United.
Among those impressed by the 31-year-old former England international was Ferdinand, who was an unused substitute for Manchester United.
"I thought Joe did well," he said, "two quality crosses from him and two goals. I'm sure the West Ham supporters will be happy with that.
"I hope the move works out for him. Joe's been plagued with a lot of injuries over the last few years, it's been a bit stop-start for him in recent seasons. It will be good for him and West Ham if he can now play regularly and stay injury-free."