The phrase 'chance appears' is correct and can be used in written English.
You can use this phrase when referring to any situation where an opportunity arises due to luck or coincidence. For example, "When I least expected it, chance appears and I am given a chance to pursue my dream job."
Labour's failure means, for many disabled people, our best chance appears to be a man whose leadership could guarantee decades of Tory anti-disability policies.
Chance appears, rather implausibly, to take a hand when Samantha, a kindly hairdresser played by De France, offers to take Cyril for the weekend.
Today, that chance appears low.
The heart finesse was sure to fail, so the main chance appeared to be an even spade split.
Mr. Kim's chance appeared to have come when General Park's disgruntled spy chief assassinated the dictator in 1979.
The chance appeared to be fading as he moved across the Liverpool box, but he struck a shot that clipped the leg of Martin Skrtel to beat Simon Mignolet.
Corney said he believed Evans deserved a second chance, appearing determined to push through the signing despite widespread criticism of the message it would send.
"The constant repetition of supposed dramatic high points, in which the talk is regularly of a 'last chance', appear unrealistic and staged.
The chance appeared to be gone, but then came a moment of wonderful improvisation, as Fabian contorted his body to clang an outrageous overhead kick against the bar!
The chance appeared to have gone for the Dane after he got behind the defence and hesitated but he lifted a half-volley that dropped on to the top of Heaton's crossbar.
Last Clear Chance appeared in the twentieth episode of the fifth season, which was originally broadcast on December 18 , 1993
