This is correct and can be used in written English.
This phrase is often used to emphasize the importance of not forgetting something. Example: We should not forget about the importance of proper nutrition.
Once more, we should not forget about the money.
8.31am: We should not forget about the local elections.
"We should not forget about those who finance terrorism," Mr. Putin said, adding bluntly that most of the 19 terrorists who committed the Sept. 11 attacks "are citizens of Saudi Arabia, and we should not forget about that".
Mr. Putin said that while he supported Pakistan's president, Gen. Pervez Musharraf, he asked, "What can happen with armies armed with weapons that exist in Pakistan, including weapons of mass destruction?" He added, "We should not forget about this".
True, his family's fortune was reduced by more than half due to his sale of Seagram to Vivendi, but we should not forget about the young man with minimal (and trivial) experience writing songs and producing movies who wanted to "get into show business" and destroyed a major beverage corporation in the process.
Although not quite as interesting as the two lockouts, we should not forget about the Barry Bonds and Roger Clemens criminal trials.
"We also have millions of children inside Syria that we shouldn't forget about," said Juliette Touma, a spokeswoman for the UN children's agency, Unicef.
We shouldn't forget about it.
"We shouldn't forget about how well he kept, with 170 overs in his first Test in the subcontinent.
But we shouldn't forget about it now or in two years' time – if people stop talking about it, the pressure will go away.
But we shouldn't forget about improving water access: the 90% is an average – some countries have numbers far below this (Kenya at 62%) – and investments need to be made to simply maintain that access and continue to improve its quality.
