A native of Hamden, Connecticut, Lieutenant Colonel Wrzosek graduated from Penn State University and received his commission through the Naval Reserve Officer Training Corps (NROTC) Program on 12 May 2006. After completing The Basic School (TBS) in December 2006, Second Lieutenant Wrzosek attended the Field Artillery Basic Officer Course at Fort Sill, Oklahoma.

Following graduation, he reported to 1st Battalion, 10th Marines, Camp Lejeune, North Carolina. He was subsequently assigned to 2d Reconnaissance Battalion, where he served as Artillery Liaison officer during the battalion's deployment in support of Operation Iraqi Freedom from October 2007 until May 2008. Following redeployment, First Lieutenant Wrzosek was assigned to Battery C in June 2008. He served as Platoon Commander and Battery Executive Officer before assuming command of Headquarters Battery, 1st Battalion, 10th Marines, where he served until May 2010.

In June 2010, Captain Wrzosek was assigned to TBS, Quantico, Virginia, as a Warfighting Primary Instructor before serving as a Staff Platoon Commander (SPC) for two Basic Officer Courses. Following his time as an SPC, he was re-assigned to the Warfighting Department, where he served as a Master Instructor until June 2013.

In July 2013, Captain Wrzosek attended the Expeditionary Warfare School in Quantico, Virginia until graduation in May 2014.

After graduation, Captain Wrzosek reported to 1st Battalion, 11th Marines, where he served as Operations Officer before assuming command of Battery A until July 2015. He was transferred to Special Purpose MAGTF Crisis Response Central Command, as the fires and targeting officer and deployed in support of Operation Inherent Resolve and was attached to Task Force Al Asad, where he served as targeting and watch officer from October 2016 until May 2016.

In June 2016, Major Wrzosek reported to The Marine Air Ground Task Force (MAGTF) Staff Training Program (MSTP), Quantico, VA to serve as a MAGTF Fires Instructor, and was also assigned duties as MSTP Exercise Control Officer during Marine Expeditionary Force exercises. In July 2019, he reported to Marine Corps Command and Staff College and graduated in June 2020 with a Master's in Military Studies.

Following graduation, Major Wrzosek reported to 2nd Battalion, 10th Marines where he served as Operations Officer until May 2021. He was subsequently assigned to 10th Marines and served as Logistics Officer for the regiment before assuming his duties as Executive Officer.

In June 2023, Lieutenant Colonel Wrzosek reported for his present duty as Inspector - Instructor, 3rd Battalion, 14th Marines.

Lieutenant Colonel Wrzosek's personal decorations include the Meritorious Service Medal (with one gold star), the Navy and Marine Corps Commendation Medal, and the Navy and Marine Corps Achievement Medal (with one gold star).