At the southeast side of the park.

A statue atop a pedestal.

Background on BG Bandholtz statue from the US Embassy Hungary website:

The statue in the center of the park on Szabadság tér, facing the Embassy, is that of Harry Hill Bandholtz, Brigadier General, U.S. Army, who was Provost Marshall to General Pershing at the end of World War I.

On August 11, 1919, General Bandholtz arrived in Budapest as one of four generals (English, French, Italian, American) to become the Inter-Allied Control Commission for Hungary, primarily to supervise the disengagement of Romanian troops from Hungary.

He became famous when, on the night of October 5, 1919, as President of the Day of the Commission, mainly through bluff, armed only with a riding crop, he prevented a group of Romanian soldiers from removing Transylvanian treasures from the National Museum.

The statue was erected in 1936, and stood throughout World War II with the inscription, in English,

'I simply carried out the instructions of my Government, as I understood them, as an officer and a gentleman of the United States Army.'

In the late 1940s the statue was removed for repair. It lay in a statue boneyard until the 1980s, at which time it was placed in the garden of the U.S. Ambassadors residence, at the request of then-Ambassador Salgo. It was re-placed in Szabadság tér at its original location in July 1989, just a few days before the visit of President Bush with a new inscription (below).

Source: https://hu.usembassy.gov/statue-of-harry-hill-bandholtz/

The text on the pedestal is written in Hungarian and English.  The English reads:

General Harry Hill Bandholtz, head of the American Military Mission, who on October 5, 1919 blocked the removal of the treasures of the National Museum to Romania.