How can I print saved text messages from my Iphone 4

Sure, make sure your printer is able to connect to Wi-Fi. Then you can download an app named VERAapp to detect your printer and print contents on your iPhone wirelessly. If your printer supports AirPrint, it will be easier. Just make sure your iPhone and printer connected to the same Wi-Fi network, and you can share the files to AirPrint to print. If your printer can only support local printing, then you have to transfer files from your iPhone to computer to get them printed. I found a tutorial including several methods. Hope it a help :) how to print calendar from iPad

How to Print Text Messages on iphone
If you need to print the text messages from your phone, you should backup or transfer them out of your phone, and save as printable format on your computer,
follow that guide, and you can also transfer your contacts, picture out of the phone.

Transfer Photos from iPhone to Computer PC

You are suggested to use FonePaw iOS Transfer to print SMS.
1. connect device to PC.
2. select "SMS", then tick the messages you want.
3. click "Export to".
Read more: How to Print Text Message from iPhone

Firstly, you should transfer the messages from your iPhone to computer as txt or pdf format with AnyTrans. Then you can print them from your computer. This guide helps a lot. How to Print Text Messages from iPhone

Step 1: Download the iPhone Transfer SMS Software and install it to the PC device To print iPhone SMS you will need to download and install the iPhone Transfer SMS Software on your computer system. Click here to visit the website where you can download this program for both Windows and Mac operating system.

After the installation of the iPhone Transfer SMS Software, connect your iPhone to computer using a USB cable device to launch the software to the computer system. This program will display all your iPhone SMS automatically.

Click on the required contact to select all SMS records sent to and received from that contact. Now, click the "Copy" button and then choose .MHT as the file format. This format is used for taking print out. Select the file path where you want to save the iPhone SMS file and then click on the "OK" button. You can also copy any selected SMS from the iPhone.