With this page:
On Chrome go to "chrome://flags", then "Enable Experimental JavaScript". Relaunch.
If you are just testing a single function in the console, you can also just put 'use strict' as the first line in the function declaration.
Chrome: put 'use strict';
prefix in your code line (and/or shift+enter for multiline)
'use strict'; var foo = 2; delete foo;
The firebug console works by wrapping all the code in an "eval" call so the first statement in your script is no longer "use strict" - hence it is disabled. You could try wrapping your code in a function to enforce "use strict" for that particular function but the best solution I know of is to skip the console and test straight in the page itself.
use shift+enter to input 'use strict'
like this