I have recently transfer my domain and hosting from local hoster and registrar to Godady, but its now more than 2 weeks that godaddy even not transfer it and sent me any email regarding any update. Really Poor service by Godaddy.
Without the domain name it's tough to see what is going on. Have you authorized the transfer by the submission of the Authorization Code? Have you not received any of the codes to take this action? You can also email firstname.lastname@example.org so that the Transfer Concierge support team can assist you.
TLH - GoDaddy | Community Moderator Supporting you at x.co/247support