Hi I have magento 1.9.3 installed.
There is a lot of mention about braintree payments settings in magento however I cannot see those in my magento admin panel under payment methods.
Can you please help how I can install braintree
You might be looking Braintree Configuration page. This url is for Magento Enterprise Edition, if you search Braintree in following link Magento_Community_Edition_User_Guide no search result comes for Braintree.
Braintree is available for EE edition in Magento1.