POST request for Laravel API ver.7 not working on webhosting

hi friends, I have created Laravel (ver.7) app for REST API:

in "api.php" is defined route:

Route::post('post','API\RegisterController@post');

and "RegisterController.php" has following code:

public function post(Request $request)  {
        //$input = $request->all();
        return response()->json(['test' => 'TEST', 'value' => '1234']);
}

If I try this POST request on my local WAMP server via "Postman" utility:

POST  http://api/public/index.php/api/post

I get correct result:

{
    "test": "TEST",
    "value": "1234"
}

with status: 200 OK, but if I am copying the same code to webhosting and try the same POST request (via "Postman") to location on my webhosting:

POST   bigoo.eu/subdom/API/public/index.php/api/post

I get error "405 Method Not Allowed". But all other GET requests work properly on webhosting. I cannot find where problem is ... please help me. Each useful tips appreciate