I wish to test carry out testing in a Production environment and in the Sandbox environment using Google Chrome in different windows. Currently I have to use different browsers - (Firefox or Safari etc.) to test. Is there anyway or any Google Chrome Application that will allow me to run the Production org and Sandbox with just using Google Chrome?
I use Google Chrome’s multiple user feature. When you switch the user, Chrome opens a new Chrome window, with entire different set of everything including cookies.
As long as they are on different instances (the naX/csY part in na1.salesforce.com) you can work in multiple orgs simultaneously. Just remember to always visit login.salesforce.com and not to logout from one org. When using chrome, this extension may help a big deal: Chrome Salesforce.com Sandbox Favicon Extension
In addition to Off's answer, you can use the Chrome Incognito window to open up another instance of Chrome that doesn't share session details (Cookies) with any existing instance. As such, you can log into another sandbox regardless of it being on the same pod as another session you have open.