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Woocommerce simple order notification allows you to receive a SMS when a new order is placed on your site. The plugin hooks into woocommerce and on order calls the twilio SMS service to send you a message with the order details.
You will need a twilio SID and auth token, plus a twilio number to use this plugin.
You can access the plugin options from the admin menu

Woocommerce-simple-order-notification

Woocommerce simple order notification allows you to receive a SMS when a new order is placed on your site.

Freemius

The African Boss

Free Designated number or your own number
Use your own Twilio number or just setup without a number and one will be designated for your store (only PRO users get a free number).
SMS Order updates to admins, customers and more
With SMS for Woocommerce, you can send SMS notifications to your customers when an order is placed, cancelled, or refunded, etc.
But that’s just the beginning. There are 4 kinds of SMS groups you can send:
<pre><code>- Admin SMS - Order updates sent to admin(s)
- Bulk SMS - personalized SMS/Email to multiple users at once
- Customer SMS - Order updates sent to customers
- Marketing SMS - Upsells, cross-sells, order again SMS, single order to subscriptions, etc
</code></pre>
Wait! There is more.
SMS Order updates for the right orders to the right people
You can specify what kinds of orders you want to send SMS notifications for.
<pre><code>- Send SMS for specific Payment Methods
- Send SMS for specific Order Status
</code></pre>
SMS templates, Shortcodes and Personalization
Use shortcode templates like [first_name] to send personalized SMS messages to your customers.
Bulk SMS/Emails to user roles, order statuses
Our robust Bulk SMS/Emails allows you to send bulk SMS to all your users and customers.
But wait! You get to specify whether you want to send to all but can also send to specific users and groups.
<pre><code>- Need to send personalized SMS/Email to all administrators or authors, etc on your site? We got you.
- Need to send personalized SMS/Email to all customers whose orders are still pending payment? We got you.
- How about selecting some users out of the groups above? We got you.
</code></pre>
HPOS compatibility & WooCommerce Blocks support
Demo
An example of the plugin in use <a href="https://gurastores.com/test" rel="nofollow ugc">here</a>
See the screenshots
<h3>Usage</h3>
After activating the plugin, add your Twilio settings such as your Admin Phone Number, Twilio Account SID, Twilio Auth Token, Twilio Phone Number to start sending SMS notifications. 
You can also use a designated number for your store if you do not have a Twilio account.
Unlock more great features for you and your customers and priority support with a PRO license. <a href="https://theafricanboss.com/wc-sms" rel="nofollow ugc">Upgrade</a>

Woocommerce-simple-order-notification vs SMS for WooCommerce