DanCoulter

Once this plugin is activated, you’ll be able to use the new “shortcodes” 
in your sidebar text widget. The shortcodes will work exactly the same 
way as they do in your posts.

Sidebar Shortcodes

Allows shortcodes to be used in the sidebar text widget.

Tobias Zimpel

Many themes, as well as other plugins, provide shortcodes for layout options like multi-column-layouts, tabs, etc.
By default, Contact Form 7 forms can not include shortcodes provided by WordPress or third-party-plugins or -themes. 
It only processes its own shortcodes used to generate form elements.
This plugin enables the usage of external shortcodes inside Contact Form 7 Forms.

Contact Form 7 Shortcode Enabler

Resolve the problem perfectily. Congratulations!

great plugin

This plugin enables the usage of external shortcodes inside Contact Form 7 Forms.

Sidebar Shortcodes vs Contact Form 7 Shortcode Enabler