Keyboard shortcut to switch focus from web developer tools to page in Chrome

• When Chrome DevTools is focused, Shift + F6 will focus on the page
  content.
• When Chrome DevTools is open and the page content is
  focused, F6 will focus on Chrome DevTools.

Reference: https://support.google.com/chrome/answer/157179

Google Chrome Feature Shortcuts

F6 Switch focus forward between the Address bar, Bookmarks bar (if
showing), and page content
Shift + F6 Switch focus backward between the
Address bar, Bookmarks bar (if showing), and page content