Reports emerged on Tuesday that the centre-back, who has impressed since joining Steaua Bucharest in 2012, will move to White Hart Lane for £6.9 million.
And Piturca, who gave Chiriches his international debut in 2011, feels that the 23-year-old has what it takes to be a star for club and country.
"He is a great player," the Romania boss told Dolce Sport. "I hope he can establish himself in England with Tottenham. We have had many examples of players who have failed to establish themselves and have lost their place in the national team.
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"I want him to play well and bring that to the national team - we need to get good results this autumn to qualify for the World Cup."
Chiriches's agent, Ioan Becali, has revealed that Spurs beat off competition from other clubs to land the impressive stopper.
"I don't know if there's a deal with Tottenham but they sent an offer of £6.9m for Chiriches, which is what Steaua wanted," he declared. "Steaua have to decide whether they agree or not. Steaua had offers of £6m and £6.5m but did not accept and said they only want £6.9m. Now the offer is on the table.
"I talked to the people at Roma; we were told that they cannot offer more than £5.5m or £6m, so we were allowed to talk to the people at Tottenham.
"Additionally, Tottenham are a good friend of mine. [Andre] Villas-Boas was in Bucharest a few years ago as my guest for a few days.
"Chiriches will not have trouble adjusting. He has been very well studied by Villas-Boas and his men told me that English football suits him better."
Piturca also claimed that Arsenal had considered signing Al Ain's Romanian midfielder Mirel Radoi, but failed to follow up on their interest.
"Radoi nearly moved to England," he added. "Arsenal are interested in him. Even [Romanian coach] Loti Boloni told me he talked with Arsene Wenger about Radoi, but his problem was speed and height."