for update google contact API, with ci 3.1.1 but you can use anywhere :D

contact_check.php

<?php
if (! function_exists('contact_check'))
{
	function contact_check()
	{
		$CI =& get_instance();
		$client = new Google_Client();
        $client->setApplicationName('Whatsapp');
        $client->setScopes([
        	"https://www.google.com/m8/feeds",
        	"https://www.googleapis.com/auth/contacts"
        ]);
        $client->setAuthConfig($CI->config->item("path_secret"));
        $client->setAccessType('offline');
        $client->setPrompt('select_account consent');

        $tokenPath = $CI->config->item("path_token");
        if (file_exists($tokenPath)) {
            $accessToken = json_decode(file_get_contents($tokenPath), true);
            $client->setAccessToken($accessToken);

	        $client->fetchAccessTokenWithRefreshToken($client->getRefreshToken());
	        /*log_message('error','refresh token : '.print_r($client->getRefreshToken(), true));
	        log_message('error','acces token old : '.print_r($accessToken, true));
	        log_message('error','acces token new: '.print_r($client->getAccessToken(), true));
	        log_message('error','A'.print_r($client,true));*/
	        return $client->getAccessToken();
        }else{
        	# token not avilable
        	return false;
        }
	}
}

contact_getPhone.php

<?php
/**
 * Get API Google contact by phone number
 * di get request queryna bisa bebas, cuma disini hanya digunakan untuk get phone
 */
if (! function_exists('contact_getPhone'))
{
	function contact_getPhone($phone, $token)
	{
		if ($phone) {
			$ch = curl_init();

			curl_setopt($ch, CURLOPT_URL, "https://www.google.com/m8/feeds/contacts/default/full?q={$phone}&alt=json&access_token={$token}");
			curl_setopt($ch, CURLOPT_RETURNTRANSFER, 1);

			$result = curl_exec($ch);
			curl_close($ch);

			$respons = json_decode($result,true);
			print_r($respons);
			if (isset($respons["feed"]["entry"])) {
				$data = array();
				$data["author"]["email"] = $respons["feed"]["author"][0]["email"]['$t'];
				$data["author"]["name"]  = $respons["feed"]["author"][0]["name"]['$t']; 
				foreach ($respons["feed"]["entry"] as $row) {
					# get contact id
					$exp = explode("/", $row["id"]['$t']);

					$data["id_raw"]		= end($exp); # if yg sudah explode
					$data["id_ori"]		= $row["id"]['$t'];
					$data["name"]  		= $row["title"]['$t'];
					$data["phone"] 		= $row['gd$phoneNumber'][0]['$t'];
					$data["phonefull"] 	= ltrim($row['gd$phoneNumber'][0]['uri'],"tel:");
					$data["note"]		= isset($row["content"]['$t']) ? $row["content"]['$t'] : "";
					$data["email"]		= isset($row['gd$email'][0]['address']) ? $row['gd$email'][0]['address'] : false; # isinya array kita hanya ambil index 0
				}

				return [
					"stts"  => true,
					"count" => count($respons["feed"]["entry"]),
					"data"  => $data
				];
			}
		}
		return ["stts"=>false];
	}
}

update-contact-google.php

<?php
/**
 * init 2020-09-10
 * get contact by phone (use get param)
 * proses update
*/
if (! function_exists('contact_setUpdate'))
{
	function contact_setUpdate()
	{
		$token = contact_check();  
		$token_access = $token["access_token"];
		$phone  = "85747277466";
		$client = contact_getPhone($phone, $token_access);
		print_r($client);
		$id_contact = $client["data"]["id_raw"];

		$update = '<?xml version="1.0" encoding="UTF-8"?>
			<entry
			    xmlns:gd = "http://www.w3.org/TR/html4/"
			    xmlns:gContact = "http://www.w3.org/TR/html4/">
			    <category scheme="https://schemas.google.com/g/2005#kind" term="https://schemas.google.com/contact/2008#contact"/>
			    
			    <gd:name>
			        <gd:fullName>nama baru (fullname)</gd:fullName>
			    </gd:name>
			    <gd:phoneNumber label="Mobile" primary="true">+6598765432</gd:phoneNumber>
			    <gd:phoneNumber label="Father">+6598732465</gd:phoneNumber>
			    <gd:phoneNumber label="Friend">+6589898989</gd:phoneNumber>
			    <gContact:groupMembershipInfo deleted="false" href="https://www.google.com/m8/feeds/groups/rw.chat01@gmail.com/base/6"/>
			</entry>';

		#cURL
		$ch = curl_init();

		curl_setopt($ch, CURLOPT_URL, "https://www.google.com/m8/feeds/contacts/default/full/{$id_contact}");
		curl_setopt($ch, CURLOPT_RETURNTRANSFER, 1);
		curl_setopt($ch, CURLOPT_CUSTOMREQUEST, 'PUT');
		curl_setopt($ch, CURLOPT_POSTFIELDS, $update);

		$headers = array();
		$headers[] = 'Authorization: Bearer '.$token_access;
		$headers[] = 'Content-Type: application/atom+xml; charset=UTF-8; type=feed';
		$headers[] = 'Gdata-Version: 3.0';
		$headers[] = "If-Match: *";
		curl_setopt($ch, CURLOPT_HTTPHEADER, $headers);

		$result = curl_exec($ch);
		if (curl_errno($ch)) {
		    echo 'Error:' . curl_error($ch);
		}
		curl_close($ch);

		print_r($result);
	}
}