ACR X APCH TO WRONG RWY. MULTIPLE RWY OP PARALLEL RWYS.

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ACR X APCHING DTW METRO FROM NW ON 160 DEG HDG; APPROX 8 DME. DTW ATIS CALLED VISUAL RWY 21L. WE HAD HAD RWY 21L LOC TUNED ON CAPT'S SIDE AND DXO VOR ON FO'S SIDE. APCH ASKED IF WE HAD THE ARPT IN SIGHT. WE DID NOT AND CONTINUED ON THE 160 DEG HDG. AS WE FLEW CLOSER THE RWY 21R APCH LIGHT BECAME VISIBLE. AT THAT POINT WE WERE FLYING THROUGH THE RWY 21R LOC. CTLR AT THAT MOMENT BECAME A LITTLE FRUSTRATED WITH THE FACT THAT WE COULD NOT SEE THE RWY AND ARPT AND INSTRUCTED US TO INTERCEPT THE RWY 21L LOC. WE COMPLIED AND FLEW THE ACFT INBOUND TO APPROX 2-3 MI AND TWR INSTRUCTED US TO CHANGE RWYS TO RWY 21R AND CLRED US TO LAND ON RWY 21R WHICH WE DID. SUPPLEMENTAL INFORMATION FROM ACN 253538: ON TAXI IN TWR GAVE US THE RADAR ROOM PHONE NUMBER AND ASKED US TO CALL THE SUPVR. I CALLED AND SPOKE WITH THE SUPVR. HE ASKED ME 'WHAT HAPPENED OUT THERE.' I SAID WHAT DO YOU MEAN? HE SAID; YOU WERE CLRED THE VISUAL TO RWY 21R AND YOU FLEW RWY 21L. I TOLD HIM THE APCH CTLR TOLD US THAT WE WERE CLRED THE VISUAL RWY 21L AFTER WE HAD THE FIELD IN SIGHT. HE HAD NOT PULLED THE TAPES. THE SUPVR SAID HE WAS NOT GOING TO PURSUE THE INCIDENT ANY FURTHER THAN THIS PHONE CALL. I FEEL THIS INCIDENT COULD HAVE BEEN AVOIDED IF THE CTLR HAD NOT BEEN IN SUCH A HURRY TO GET US TO ACCEPT THE VISUAL APCH.