You should Never submit to Google. Google can put a hold on your site or page that you submit. This is because they receive millions per day, and so they will put you on a waiting list. That can cause you to get completely dropped from googles index for a certain tme. Call it the sandbox.

The best way to get indexed:

Simply add that new page in your sitemap.xml and use google webmaster tools to submit your sitemap.xml to google. Then that page will be index within 24 hours.