Putting iphone on airplane mode but Wi-Fi?

Will i still receive text messages, no right?

If your device is in airplane mode you will have no cellular data connectivity. That means no cell network calls, texts, or 3G/data.

You WILL NOT be able to send or receive regular text/media messages in airplane mode, regardless of Wi-Fi.

The Wi-Fi should provide an internet connection, however, so things that work over the internet will still work in airplane mode, such as your email, most internet apps, online games, web browsing, etc. In some cases, iMessage may work over Wi-Fi, but most people don't use iMessage, and it isn't very reliable when using Wi-Fi in airplane mode.