I have an array called $output which contains:

Array
(
    [0] => Array
        (
            [0] => J Arora
            [1] =>  India
        )

    [1] => Array
        (
            [0] => J Ramuj
            [2] =>  Russia
        )

    [2] => Array
        (
            [1] =>  KJ Tris
            [2] =>  Germany
        )

)

How can i insert these data into mysql database table like these

---------------
name   | country
-------|---------
J Arora|India
-------|--------
J Ramuj|Russia
-------|--------
KJ Tris|Germany
-------|--------

I am not able to fetch these values separately from given array as their index are not in sequence.

Just loop it with a foreach, and use PHP native functions like current() and end() to get your elements. Given that you just have two elements in your array at all times, this should work

foreach ($output as $v) {
    echo current($v); // Name
    echo end($v); // Country
}

Adapt this to build your query and execute it inside the loop. Inside the loop you could do

foreach ($output as $v) {
    $sql = "INSERT INTO table (`name`, `country`) VALUES ('".current($v)."', '".end($v)."')";
    // TODO: Execute query
}

You should also note that any query using variables should be using prepared statements with placeholders. Both MySQLi and PDO supports this.

Using prepared statements

Build the query before, and execute it as you loop it with the appropriate variables bound.

Example with PDO:

$stmt = $pdo->prepare("INSERT INTO table (`name`, `country`) VALUES (:name, :country)");
foreach ($output as $v) {
    $stmt->execute(array("name" => current($v), "country" => end($v));
}

Example with MySQLi:

$stmt = $mysqli->prepare("INSERT INTO table (`name`, `country`) VALUES (?, ?)");
foreach ($output as $v) {
    $name = current($v);
    $country = end($v);
    $stmt->bind_param("ss", $name, $country);
    $stmt->execute();
}

Let's call your array user_details

foreach($user_detail as $single_user){
       $i = 0;
       foreach($single_user as $user){
           if($i==0){
             $name = $user;
           } else {
            $country = $user;
           } $i++;
       }
     $sql_query = INSERT into 'Table'($name, $country);
     //Execute this query as per mysqli or or mysql

}

//Considering that first value is always the name and 2nd values is always a country name

$sql = "INSERT INTO tablename(name,country) VALUES";

for($i=0;$i<sizeof($myarray);$i++){
  $sql.="(".$myarray[0].",".$myarray[1].")";
}

now execute $sql

for ($a=0; $a<count($array); $i++) {
    $dataArray=array_values($array[$i]);
    for ($j=0; $j<count($dataArray); $j++) {

        $name=$dataArray[0];
        $country=$dataArray[1];
        $insert_query="insert into tablename set name='$name', country='$country'";
        $res_query=mysql_query($insert_query);
    }
}

Hope this will works for you.

Might be this can help. Its not tested.

$query = "INSERT into 'your table name' ('name', 'country') VALUES ";
foreach($yourArray as $data) {
    foreach($data as $d) {
       $query .= "('.$d[0].','.$d[1]),";
   }
}

$query = substr($query, 0, -1); // To remove last comma from query string

Then you can execute this query.