However, senior Congress leader Jairam Ramesh reacted sharply to the attack on Rajan saying why Swamy does not hit his "real target" Finance Minister Arun Jaitley but "set up dummy targets" like the RBI Governor who cannot speak out.
BJP spokesperson on economic affairs Gopalkrishna Aggarwal said Swamy is a senior leader whose opinions "definitely matters" but added the final say will be with the government.
"I cannot see why someone appointed by the UPA Government who is apparently working against Indian economic interests should be kept in this post when we have so many nationalist- minded experts available in this country for the RBI Governorship," he said.
The newly-nominated MP urged Modi "to terminate the appointment of Dr Raghuram Rajan in the national interest."
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"The reason why I recommend this is that I am shocked by the wilful and apparently deliberate attempt by Dr Rajan to wreck the Indian economy," he said adding his concept of raising interest rates to contain inflation was "disastrous."
Rajan was appointed RBI Governor by the previous UPA government in September 2013 for a three-year term, which can be extended.
"These actions of Dr Rajan lead me to believe that he is acting more as a disrupter of the Indian economy than the person who wants the Indian economy to improve.
"Moreover he is in this country on a Green Card provided by the US government and therefore mentally not fully Indian. Otherwise why would he renew his Green Card as RBI Governor by making the mandatory annual visit to the US to keep the Green Card current?" he wrote.
Swamy had last week stated that Rajan was "not
appropriate for the country" as he had in the garb of controlling inflation raised interest rates leading to "collapse of industry and rise of unemployment in the economy."
Rajan's three-year term ends in early September and if an extension is denied, he will be the first RBI Governor since 1992 to not have a five-year term.
His predecessors -- D Subbarao (2008-2013), Y V Reddy (2003-2008), Bimal Jalan (1997-2003) and C Rangarajan (1992-1997) had five-year terms.
He kept the rates high, citing inflationary concerns despite intense pressure from the Finance Ministry and the industry for softening them with a view to boosting growth.
The Governor began the process of lowering the rates in January 2015 and since then it has come down by 1.50 per cent to 6.50 per cent.
Ramesh said RBI was a respected and venerable institution and beyond politics. Rajan is one of the most eminent central bankers in the world, acknowledged authority in finance and monetary economics.
Swamy, who was earlier this month nominated to Rajya Sabha by the BJP government, said Rajan's concept of containing inflation by raising interest rates was "disastrous."
"When the Wholesale Price Index (WPI) started to decline due to induced recession in the small and medium industry, he shifted the target from WPI to the Consumer Price Index (CPI) which has not however declined because of retail prices. On the contrary it has risen.
Rajan, Swamy said, was "acting more as a disrupter of the Indian economy than the person who wants the Indian economy to improve.