As you said data is stored inside meta_value as serialized format. You can match your string among the serialized string like data.
$args = array(
'meta_query' => array(
array(
'key' => 'submitted',
'value' => sprintf(':"%s";', 'vivek'),
'compare' => 'LIKE'
)
)
);
$query = new WP_User_Query( $args );
Hope this help!