You can allow websites to save and read cookie data from your Android default browser or chrome. To accept cookie, enable, disable cookie on your Android phone or tablet. To do so, follow the instruction:
1. Open the Browser
2. Open "Privacy and Security" Menu
* Note that on Chrome, you need to go to "Content Setting"
3. Mark or Unmark the "Accept Cookies" button
On the default Android Browser there is "Clear All cookie Data" option under the "Accept Cookies" to clear the Cookie