**Core Concept**
The management of liver lacerations depends on the severity of the injury, patient's hemodynamic stability, and presence of other injuries. Liver lacerations are graded based on their depth and involvement of major vascular structures.

**Why the Correct Answer is Right**
Given the patient's stable vital signs and the depth of the laceration, conservative management is often the preferred approach for hemodynamically stable patients with grade III or lower liver injuries.

**Why Each Wrong Option is Incorrect**
**Option A:** Incorrect as immediate surgery is not required for a hemodynamically stable patient.
**Option B:** Incorrect as embolization is typically reserved for cases with evidence of active bleeding.
**Option C:** Incorrect as peritoneal lavage is not necessary in this scenario.
**Option D:** Incorrect as the description does not specify the correct answer choice.

**Clinical Pearl / High-Yield Fact**
In hemodynamically stable patients with liver injuries, conservative management with close monitoring is often the preferred approach, reducing the need for surgical intervention.

**Correct Answer:** D. Conservative management