In the league's first Friday night start, Arsene Wenger's side was trailing 3-2 with seven minutes remaining but Ramsey grabbed the equaliser and Giroud headed in an 85th-minute victor.
The Frenchman, who has been at the club since 1996, has been given a chance to turn things around despite calls for his head from disgruntled Arsenal fans waiting for a first league title under his stewardship since he led them to the crown in 2004.
After Aaron Ramsey leveled in the 83rd minute, Giroud sealed the three points within two minutes on an evening of thrilling attacks gifted by fragile defending.
Leaders of US, France Discuss N. Korean Issue
Pyongyang then said it was considering an attack near the Pacific island of Guam where several USA military bases are located. US President Donald Trump said that Washington would respond with " fire and fury " to any possible threats.
"I don't know whether it was a lack of concentration or just a lack of game management in the last ten minutes, but you then concede again from a set play in terms of being overpowered. He has a big weight in the squad and it was a relief for me that he made a decision to stay".
"I prefer to be on the pitch", the 30-year-old Giroud said, "but as much as I can I try to help the team reach its target".
Wenger has always been desperate to keep Giroud because he offers something so different with his aerial presence but was also willing to let him leave if he felt that he needed a guarantee that he would start more regularly in this World Cup season.
"We were punished on every single mistake by a Leicester team that was very efficient going forward".
White nationalist rally leaves one dead, dozens injured
Speaking from his New Jersey golf club, Trump condemned "this egregious display of hatred, bigotry and violence on many sides". It was after 1?p.m. when he weighed in, writing on Twitter: "We ALL must be united & condemn all that hate stands for.
"Top quality game and you want PL to be best in the world and you have to produce games like that", Wenger told reporters.
To think, we have an entire opening weekend to go yet, as well as an entire season.
"It was good. Obviously I'm still getting used to the English game, the positives and negatives, shall we say, but I'm learning".
"If you were a manager and you were on the bench, 3-2 down with 20 minutes to go and you win 4-3, you're more happy than concerned you know".
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The best therapy is to win and it would be fantastic. "Obviously I knew that I was going to have a chance so we tried to push". We have been shocked a few times but the target this time is to start in a strong way against a very hard team in Leicester.
Gold steady near 2-mth highs as N. Korea tensions continue
Baker Avenue's Lip said the US market was higher due to "bargain hunters", but "there's more room for the market to come down". The Labor Department said on Friday the Consumer Price Index (CPI) edged up 0.1% last month after being unchanged in June.
Stocks fall as tensions with North Korea escalate
Nordstrom shares were up 1.63 percent at $45.60 following the apparel retailer's better-than-expected quarterly same-store sales. South Korea's fell 1.7 percent to its lowest since May 24, but its losses for the week are a relatively modest 3.2 percent.
Markets slide, dollar slumps as North Korea fears spike
Trump's comments came after reports that North Korea has spurned a new round of sanctions approved by the UN Security Council. The market indexes wavered between small gains and losses for much of the morning, then veered lower by afternoon.
Has $29.72 Million Stake in Minerals Technologies Inc. (NYSE:MTX)
Equities research analysts predict that Minerals Technologies Inc. will post $4.64 earnings per share for the current fiscal year. It turned negative, as 84 investors sold HD shares while 664 reduced holdings. 28 funds opened positions while 65 raised stakes.