Air taxi Captain reported the marshaler guided them too close to a parked aircraft; resulting in a near miss.

Narrative

We were taxiing and approaching the ramp at ZZZ. Looking at where the line service marshaler was guiding us; I was surprised even when still on the taxiway that he was gonna try to take us in where he did. As we pulled onto the ramp; the marshaler was far out ahead of us. I would have a Challenger 350 to my right; and a phenom to the left with a fuel truck in front of it. At that time; I thought there was no way that we would fit in there. I stopped before approaching the first obstacle on my left of the fuel truck. Someone that was being part of the fuel process came around and watched my left wing with a thumbs up I knew we did not have 10 feet but I could tell that we were going to clear with the marshaler. The second marshal was straight ahead off the nose of the Aircraft walking away from us. After moving a short distance; I stopped again; being concerned about our wingtip and the Challenger 350 to our right. The Marshaler kept marshaling us with urgency. I started to move again then my FO I said slow down and seemed nervous. I stopped. The marshaler that was in front got the hint and kind of got closer and for a better view of our right wing. He seemed irritated and seemed it was urgent for us to get moving again so I started moving again. A captain of the Challenger came down the steps and gave my FO a signal to have us stop. My FO said stop and I hit the brakes. At that time; there was a jolt. I did not know if we had hit something or if it was just the brakes grabbing abruptly. Fortunately; we did not hit the other Challenger. My FO later said he was about ready to push the brakes himself but ultimately it was the crew of the Challenger that got us to stop before my FO had to push the brakes. Thankfully we did not hit the other Aircraft although we should've never got as close as we did to it. The young line service marshaler had a talk with his supervisor and I talked with him too. I feel even after my talk with him he still did not understand the severity of the situation or the importance of the 10 foot rule and someone needs to be at the wing tip if we don't have at least 10 feet.Suggestions: I should have stopped sooner and shut down or contacted the FBO to get a 3rd line person out there.