The phrase "achieve a miracle" is correct and usable in written English.
It can be used when discussing accomplishing something extraordinary or seemingly impossible.
Example: "With hard work and determination, we can achieve a miracle in our community by bringing everyone together for a common cause."
Alternatives: "perform a miracle" or "create a miracle".
We can at least make our views known about this cruel decision – and try to achieve a miracle – rather than just thinking it's somebody else's problem.
A subtext of the Super Bowl storyline is that the Saints are on a mission, and are somehow fated to achieve a miracle victory over the favored Indianapolis Colts.
Southerland and Cressida Carré, as musical stager, also achieve a miracle of fluency in a modest space: the opening number, in which passengers, crew and the ship's creators hymn "a human metropolis" is breathtaking in its physical dexterity.
Were England to achieve a miracle by going all the way in Euro 2012 then it would be largely the work of the present manager, but the modest and courteous Hodgson would be the first to pay tribute to his predecessor's contribution.
The kindness of others helped me achieve a miracle.
The family also says they are still hopeful that Jacoby -- a determined gymnast full of energy and strength -- will be able to achieve a miracle.
In settling on the right solution, Lee achieved a miracle of his own: he made people believe in 3D again.
After a lively and humorous exchange he paused for a moment and said, touchingly bemused: "Actually you know, I have achieved a miracle".
Additionally, the title demonstrates The Times's discomfort: "Happy Nevertheless" suggests that people with disabilities have achieved a miracle by being happy despite their disabilities.
When Pétain came to power stressing honor and "peace" in "daily living," and signed an armistice with Hitler, she exalted: Pétain has "achieved a miracle," and enabled the French "to make France again".
There are enough previous CEOs who have failed to restore the company's former status as an Internet leader, that if Mayer fails she's lost nothing – and if she succeeds she'll be seen as having achieved a miracle.
