The world number one avoided the fate of Novak Djokovic - the man who beat Murray in the final at Roland Garros previous year - who was accused of "tanking" in his defeat to Austria's Dominic Thiem earlier in the day, and the Scot will now face Swiss third seed Stan Wawrinka in the last four.
Former Wimbledon victor Goran Ivanisevic has also been impressed by Murray's revival. The most recent match was in the 2016 ATP World Tour Finals, a match Murray won in straight sets.
"I played well, was very solid and took my opportunities".More news: Rangers' expansion draft protected list released with no surprises
A review of the action from the men's singles on day nine of the French Open at Roland Garros. Murray will be the favorite to win going into the match.
Romania's Simona Halep dismissed 21 seed Carla Suarez-Navarro 6-1, 6-1 to reach the quarterfinals on the women's side.
"I do think sport, and tennis in particular because of the nature of it, is such a global sport, it does bring lots of people together from, you know, many different places", he said.
The third-seeded Halep, who trailed 5-0 in the first set, was down 5-1 in the second.
"I don't know how I got the second and third. I don't think about it during the points", added Halep.More news: Could Trump's "witch hunt" tweet come back to haunt him?
"When we changed ends at 1-0 he told me, 'You're playing too slowly.' And then my second service game I got the warning".
"He's always a tough guy to play against".
But the 30-year-old - despite being broken on a couple of occasions - was never truly troubled and a combination of brilliant defensive work and a superior clinical edge meant Murray booked a last-eight meeting with either Kei Nishikori or Fernando Verdasco. Wawrinka had only a bit more trouble, eliminating the last Frenchman, No. 15 Gael Monfils, 7-5, 7-6 (9-7), 6-2.
Murray will now face Stan Wawrinka the 3rd seed who beat Marin Cilic 6-3, 6-3, 6-1.
In the only match involving two Indians pitted across the net, seventh seeds Rohan Bopanna and Gabriela Dabrowski of Canada defeated second seeds Sania Mirza and Ivan Dodig of Croatia 6-3, 6-4 to enter the mixed doubles semi-finals. In another quarterfinal, Pliskova meets No. 28 Caroline Garcia, a 6-2, 6-4 victor against Alize Cornet in a match between two Frenchwomen.More news: Uber CEO Travis Kalanick Will Take an Indefinite Leave of Absence
- One year later: thousands gather to honor Pulse victims
- Congressman Scalise on the mend, now in 'serious' condition
- UK government scrambles to limit fallout from London fire
- Xbox One X Formally Unveiled, Coming This Fall
- Election win gives Macron carte blanche
- The Xbox One X is not the console for everyone
- After jury deadlocks, Bill Cosby faces 2nd sex assault trial
- Arenado completes cycle with game-winning homer for Rockies
- Authorities say 32 injured in deck collapse
- Rosenstein privately mulls recusal from Russian Federation probe