Trump had threatened to "totally destroy" North Korea if forced to defend the US or its allies.
Whereas Trump lashed out at Venezuela, calling the administration of President Nicolas Maduro a "socialist dictatorship" that destroyed a once wealthy country, Arreaza reminded the US president - a man who only received enough popular votes to claim second place in last year's USA presidential campaign - that Venezuela has held 22 elections in the past 18 years.
In regards to US imposed sanctions on his nation, Arreaza noted that the measures aim to provoke undemocratic change in the Bolivarian government, emphasizing that the United States had absolutely no moral ground to stand on in respect to police and human rights abuses detailing abuses against Indigenous, African-American and immigrant populations in the United States.
The U.S. had no immediate response to Arreaza's remarks.
Venezuela's government has faced global criticism since the country's Supreme Court gutted the opposition-controlled congress in March. Several opposition mayors and leaders have been jailed.
President Nicolas Maduro has called those sanctions a financial blockade against the country, which is grappling with triple-digit inflation and chronic product shortages as its economy unravels.
"This corrupt regime destroyed a prosperous nation by imposing a failed ideology", Trump said of the socialist country.
Venezuela and the USA have had tense relations for years.
Venezuela has accused the USA of "psychological terrorism" after it imposed travel restrictions on some Venezuelan government officials and their families.
Venezuela accused the United States on Monday of "psychological terrorism" created to bring down the government after it was included in a list of eight countries targeted by a travel ban.
The new restrictions replace an expiring 90-day measure that had locked Trump in political and legal battles since he took office in January over what critics alleged was an effort to bar Muslims from the country.
Arreaza said his country is "looking for channels" to the Trump administration and is open to having a dialogue.
Echoing former Venezuelan president Hugo Chavez's 2006 speech in which he said he detected a "smell of sulphur" at the UN General Assembly after an address by then U.S. president George W Bush, Mr Arreaza said "it is still the case that this podium smells like sulphur".
"For the moment, it has not been possible, but the will is there", Arreaza said.
Mr Trump is also preparing a new cap on refugees admissions that will be announced before October 1, U.S. officials say.