The answer is YES. He would still have his powers. Bart Allen aka Impulse, Barry Allen's relative from the future who is also a speedster was missing running through the speed force. Once he comes back out of the speed force he says,

"Crazy day, even for me. One minute I'm running to Canada to join Alpha--Oh Man."

Clearly Impulse was running and jumped into the Marvel Universe and was intending to join the most well know Marvel Universe Canadian superhero team, Alpha Flight. Wolverine has been apart of Alpha Flight along with several others.

Link to article on it: https://screenrant.com/young-justice-kid-flash-marvel-comic/

Now, whether he was faster than Quicksilver, it doesn't say.

The answer is YES. He would still have his powers. 
Bart Allen aka Impulse, Barry Allen's relative from the future who is also a speedster was missing running through the speed force. Once he comes back out of the speed force he says,

"Crazy day, even for me. One minute I'm running to Canada to join Alpha--Oh Man."

Clearly Impulse was running and jumped into the Marvel Universe and was intending to join the most well know Marvel Universe Canadian superhero team, Alpha Flight. Wolverine has been apart of Alpha Flight along with several others.

Link to article on it.

Now, whether he was faster than Quicksilver, it doesn't say.