"If we are invited, we will be happy to go," Raja said. "It will be a good preparation for our tour of Australia scheduled at the end of the year."
India are due to host world champions Australia and South Africa from September to December.
Australia have said they will play only Test matches in India, but Pakistan could be accommodated in a tri-series alongside South Africa in early November.
"We could squeeze the trip to India after our home series against Zimbabwe in October and before we leave for Australia in late November," Raja said in Rawalpindi on Tuesday.
India are currently on their first full tour of Pakistan since 1989 following a thaw in diplomatic relations between the two warring neighbours.
India and Pakistan are already scheduled to join world champions Australia in a tri-series in the Netherlands in August.
"The Dutch event is on but provided England host the Champions Trophy in September," said Raja.
Recent media reports have suggested the International Cricket Council (ICC) may shift the Champions Trophy out of England if the England Cricket Board decline to tour Zimbabwe this year.
"It will be nice to play India on a regular basis, but we first need Government clearance before planning anything," Raja said.