'He still asked' is correct and can be used in written English.
For example: Despite knowing the answer, he still asked the question.
After my determinedly reasoned explanation of the situation, he still asked me to call my friend at work for verification of my story.
This time, he did not have such luxuries but he still asked the police department in Schenectady, New York, if they could set him up with a real-life bank robber, and they did.
A week later, he still asked me to pitch to the highest-yield client.
Nevertheless, he still asked me for a handful of poems, the ones later published by his magazine".
She turned out to be 17, but he still asked, in a private message on Instagram, whether he should rent a hotel room for the two of them.
But he still asked for a stay of a federal court ruling that had reinstated those voting days in response to an Obama for America lawsuit.
"If he sees a cop and we're together," Mr. Florence testified in 2006, "he still asks, 'Daddy, are you going to jail?' " I wrote recently about a criminal libel action in Paris over a book review.
He still asks for it and keeps playing.
He still asks himself what he did to deserve this.
