Steven MacLean's second half finish deservedly earned three points and means the visitors leapfrog Motherwell, who lost to Aberdeen.
"It's a 38 game league," Wright told BBC Scotland.
"We try and prepare them for the whole season and the last few seasons we've tended to finish strong."
Saints have won both matches since the Premiership split in half for the final run in and visit Motherwell next weekend.
"Last season after the spilt we were unbeaten and that's difficult to do as you're playing against the sides that have been at the right end of the table all season," added Wright.
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"We have a tough game coming up against Motherwell but we're in a nice position at the minute with three games to go.
"We knew it would take a good performance coming up here, particularly with the result Ross County got last week at Celtic
"Throughout the 90 minutes we controlled quite a huge chunk of that and never looked in any real danger.
"We passed the ball well, defended well, got the goal at the right time and had not too many problems to deal with so I'm a happy manager."
The only disappointment for Wright was another injury to Chris Millar who had to be replaced before half-time after suffering a calf injury.
"Chris has a problem," explained Wright. "It's not the problem that's hampered him this season, it's a calf problem as well.
"It doesn't look too serious so hopefully he'll get back for a couple of the games we've got left."
Ross County manager Jim McIntyre saw his hopes of finishing fourth severely dented and was in no mood to gloss over an abject performance from his side.
"We were really poor," he said. "I would put that up there as the poorest performance this season.
"It looked as if we had nothing to play for. St Johnstone looked as thought they wanted it more.
"It was a scrappy goal to lose the match but the best team won.
"For the first time this season we didn't have a period in the game where you thought 'we're going to get a goal here'.
"We just had most of the players off the pace of the game, it's as simple as that. We didn't start well and we didn't recover from that.
"We've got professional pride and placing money to play for and that's still achievable but it's going to take a hell of a lot better performance than what we saw today."

2 December 2015 Last updated at 09:51 GMT
One in 10 engineers are in South Africa are women - but Ms Moosajee wants that proportion to be much higher.
Thousands of girls are going through the organisation's fellowship programme, which includes practical workshops in skills development, training and networking.
She says: "It's such a proud moment for me to have these girls come up to me and say: "Naadiya, you have changed my life. I'm an engineer because of you."
WomEng is currently working across South Africa and Kenya, with the aim of replicating its programmes across Africa and the globe.
Women of Africa is a BBC season recognising inspiring women across the African continent. The first series, Africa's Unsung Heroes, introduces eight women who are making a difference in their country - and beyond.
Read more here
Manager Tommy Wright is sure St Johnstone can hang on to fourth place in the Premiership after picking up a 1-0 win at Ross County.
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South African civil engineer Naadiya Moosajee co-founded non-profit organisation WomEng to help develop the next generation of female engineers in Africa.