Djokovic goes on to face Australian ninth seed Alex de Minaur for a place in the semi-finals.
Seven-time champion Djokovic comes up against Danish 15th seed Holger Rune, who has beaten him twice.
Novak Djokovic reached the Wimbledon fourth round for the 16th time on Saturday after taking a break to help the Centre Court crowd celebrate England's Euro 2024 win over Switzerland in Germany.
An error-strewn Novak Djokovic kickstarted his bid for an 11th Australian Open and unprecedented 25th Grand Slam crown in unconvincing fashion on Sunday, dropping a set to fearless teenage qualifier Dino Prizmic.
"Botanical Gardens just nearby, it's a wonderful park where I like to spend time and just be by myself in nature, just grounding, hugging trees."
Serbia are one of the eight surviving nations from September's group phase and will face Britain on Thursday.
Djokovic will spearhead Serbia at the tournament from December 29-January 7 in Sydney and Perth as he builds towards the defence of his Australian Open title.
World number one and US Open winner Alcaraz, playing only his fourth grass-court tournament, defeated Daniil Medvedev 6-3, 6-3, 6-3.
Novak Djokovic will play Stan Wawrinka for the 27th time in a storied rivalry when they clash on Friday but surprisingly they have never played each other on grass, let alone at Wimbledon.
Having battled through 59 encounters with Rafael Nadal over 16 years of epic rivalry, Novak Djokovic faces the Spanish legend's heir apparent Carlos Alcaraz at the French Open in a match laced with era-defining potential.
International tennis chiefs insisted Wednesday that "political statements" are not banned at Grand Slam events after Novak Djokovic controversially wrote "Kosovo is the heart of Serbia" on a camera at the French Open.
Novak Djokovic eased into the Italian Open quarter-finals on Tuesday after breezing past Cameron Norrie 6-3, 6-4, although there was tension with the Briton after the top seed was hit by a smash.
Novak Djokovic says he is still dealing with an elbow issue heading into this week's Srpska Open as the Serb looks to get his French Open preparations back on track following his early exit at the Monte Carlo Masters.
Fritz, 25, rose to his highest career ranking despite a surprise loss to Wu Yibing in the Dallas semi-finals.
Novak Djokovic reclaimed top spot in the ATP rankings released on Monday after winning his 22nd Grand Slam title at the Australian Open.
Novak Djokovic, who won a record-equalling 22nd Grand Slam title on Sunday, is driven on through controversy by his determination to be the greatest ever.
Novak Djokovic shrugged off controversy involving his father to reach a record-extending 10th Australian Open final with a 7-5 6-1 6-2 win over outgunned American Tommy Paul on Friday.
Facts and figures ahead of Friday's Australian Open men's semi-finals (x denotes seeding):
Novak Djokovic makes his eagerly anticipated return to the Australian Open on Tuesday and women's world number two Ons Jabeur will also launch her title bid.