Police were called to the scene in Emerson Road, on The Scotlands estate, at around 7.50pm on Sunday.
Nobody was injured and patrols have been stepped up in the Bushbury area to help offer reassurance to residents.
But a resident, who did not want to be named for fear of reprisals, said the incident left neighbours feeling uncomfortable and was the second police incident involving the same property in recent months.
"A gun was fired at the window of the house at about 7pm. There were about eight police cars and two van here at one stage. The officers also sealed the road.
"When I got home at about 9pm I had to park in the nearby street and walk the rest of the way because of the police cordon. The police were still here this morning and the house is also cordoned off.
"It's a bit worrying because the children play outside and we worry for their safety," the man said.
It comes after West Midlands Police were called to Willenhall Road on Saturday after receiving reports of a firearm being discharged. Two men who were arrested in connection with this incident have been released on bail.
Following the most recent incident, a spokesman for the force said: "We've been carrying out door to door enquiries and retrieving CCTV from the area as our investigation continues.
"Anyone with information can contact us via live chat on our website or by calling 101, quoting investigation number 20/106086/23."