@Annie Ni (RD-CN) I am referencing the issue with a similar question from another user were we discussed briefly about this.
With respect to this issue do you mean your company owning an enterprise subscription or a different account where you need to migrate the current project?
Are you looking to move your Pay as you go account to EA?
For the first question I think custom translator does not offer the option to migrate project but you can move data and create new custom translator models by download as discussed in the referenced thread.
For the second question you can migrate to EA and transfer all ownership at subscription level. The resource move scenario supports moving accounts related data for cognitive services unlike other services were resources are also migrated. I would suggest to try your scenario with a free test personal account with your company EA admin and check if the move scenario complies with policies of your organization.