How do I post a Vue Post Ajax from mysite.com to api.mysite.com ?

Currently, I build an Lumen api.mysite.com for Laravel mysite.com

When I try to post to api.mysite.com using Vue http post,

                this.$http.post(this.api_url('me/shop'), this.fields)
                .then( (response) => {console.log(response)} )
                .catch( (response) => {console.log(response)} );

it gets this error:

Response for preflight has invalid HTTP status code 405

Well, how can I fix this? Is this some kind of Cros?