Changing roles on admin panel in checkbox

In presented controller, it's displaying all the users and his attributes(?) such as name, surname, phone and roles. How do I make it that when I select role in checkbox and press "potvrdi"(submit) it submits to database? Do I have to use jquery, ajax? Thank you

Controller

public function action(Request $request) { if ($request->ajax()) { $query = $request->get('query'); if ($query != '') { $data = User::where('surname', 'like', '%'.$query.'%') ->orWhere('name', 'like', '%'.$query.'%') ->orWhere('phone', 'like', '%'.$query.'%') ->orderBy('id') ->get(); } else { $data = User::orderBy('id') ->get(); } return json_encode($this->generateUserTable($data)); } }

public function generateUserTable($data)
{
    $total_row = $data->count();
    $output = "";
    if ($total_row > 0) {
        foreach ($data as $row) {
            $roleNames = '';
            $userRoles = $row->roles()->pluck('id')->toArray();
            // var_dump($userRoles);
            $checked = '';
            foreach (Role::all() as $roles1) {
                if (in_array($roles1->id, $userRoles)) {
                    $checked = 'checked="checked"';
                }
                $roleNames .= $roles1->role != null ? $roles1->role.' '.'<input type="checkbox" '.$checked.' name="role" value="'.$roles1->id.'" class="checkbox" id="checkboxId">'.' ' : '';
            }
            $output .= '
                <tr>
                    <td>'.$row->surname.'</td>
                    <td>'.$row->name.'</td>
                    <td>'.$row->phone.'</td>
                    <td>'.$roleNames.'</td>
                    <td><button type="button" id="potvrdi" class="potvrdi-button btn btn-primary" data-id="'.$row->id.'">
                    <div class="potvrdi">Potvrdi</div>
                    </button></td>
                    <td><button type="button" id="rowId" class="remove-button btn btn-danger" data-id="'.$row->id.'">
                    <div class="close">&#120;</div>
                    </button></td>
                </tr>
            ';
        }
    } else {
        $output = '
            <tr>
                <td align="center" colspan="5">Nema podataka</td>
            </tr>
        ';
    }
    return array(
        'table_data'  => $output,
        'total_data'  => $total_row,
    );
}