I'm not totally sure what you're asking, there isn't really a question here, however to make API calls from Laravel to an outside API, i would recommend you use Guzzle package. and If you're using VUE or ReactJS as your frontends you could use AXIOS packages to make those calls.
If you're new to Laravel i suggest you watch the Laravel 5.7 series on Laracasts site, and then maybe dive into Guzzle a bit afterwards.
Well thank you for responding. For clarity I have build an cricket app which requires tournament brackets, matches and Its scheduling etc. Mentioned API can fulfill my requirements. API contains resources. But I am new to API integration or consuming in laravel. Or how to handle API stuff? This API is suitable for my requirements or not? kindly suggest me too.
Response Formats: XML or JSON.
This is the PHP docs for such API. How the docs can be helpful to me?
(API contains REST API Methods)