He also urged Brunson to serve as a "great patriot hostage" while he is jailed and criticized Turkey for "holding our wonderful Christian Pastor".
The US has lately doubled steel and aluminium tariffs on Turkey.
The United States on Wednesday imposed sanctions on a Russian port service agency and Chinese firms for aiding North Korean ships and selling alcohol and tobacco to Pyongyang in breach of USA sanctions aimed at pressuring North Korea to end its nuclear programs.
Erdogan has called on Turks to exchange their dollars for lira in order to shore up the domestic currency.
"The president has a great deal of frustration on the fact that Pastor Brunson has not been released as well as the fact that other US citizens and employees of diplomatic facilities have not been released", Sanders said at a White House briefing Tuesday.
The charge d'affaires at the USA embassy in Turkey, Jeffrey Hovenier, visited Brunson on Tuesday and called for his case, and those of others detained in Turkey, to be resolved "without delay" and in a "fair and transparent manner".
Turkey slapped another round of steep tariffs on USA goods as the two countries escalate their trade battle and push the relationship to a breaking point.
Trump then called Brunson a "very innocent man" and said his arrest was "not fair, not right".
"Turkey will emerge stronger from these (currency) fluctuations", said Albayrak, who is also Erdogan's son-in-law.
Qatar pledged $15 billion of investment in Turkey on Wednesday that a government source in Ankara said would be channeled into its banks and financial markets.
Turkey shot back on Friday, threatening to respond if the United States levied further sanctions.
Vice President Fuat Oktay tweeted that the new tariffs were retaliation for "the deliberate attack of the US administration on our economy", CNN said.
Gold prices in line with the emerging market currencies rout, triggered by Turkey's Lira and China's economic woes, reduced to its over 19-month low price levels.
The flailing Turkish lira rebounded slightly on Thursday, on the heels of Qatar's announcement that it would earmark $15 billion for deposits and investment projects to be made in Turkey.