Slovakia's Hantuchova, who needed just 47 minutes to dispatch Paszek, set up a second-round clash with second-seeded Agnieszka Radwanska.
Defending champion Tamira Paszek was forced to retire with a left thigh injury from her first-round match against 2009 champion Caroline Wozniacki at Eastbourne on Tuesday.
Austria's Tamira Paszek, who made the Wimbledon quarter-finals, was on Friday given the go-ahead to play in the Olympics after winning an appeal to the International Tennis Federation (ITF).
Second-ranked Victoria Azarenka set up a Wimbledon semifinal against Serena Williams by beating unseeded Tamira Paszek of Austria 6-3, 7-6 (4) Saturday, despite failing twice to serve out the match.
Good thing Wimbledon schedules its middle Sunday as a day off. This year, that gave everyone a chance to catch their breath after an eventful Week 1. Really, when action resumes Monday with all 16 men's and women's fourth-round matches, what could Week 2 possibly have in store to equal what the first six days offered?
Four-time winner Serena Williams survived a major scare before battling into the last 16 at Wimbledon on Saturday, while defending champion Petra Kvitova took the express route into the second week.
Austria's Tamira Paszek saved two match points to send former world number one Caroline Wozniacki crashing out of Wimbledon under the Centre Court roof on Wednesday.
Tamira Paszek rallied from a set and a break down to overhaul world number eight Angelique Kerber 5-7, 6-3, 7-5 on Saturday in the final of the WTA Eastbourne tournament.
Serena Williams shook off some rust as she came through her opening match at the Australian Open with a 6-3, 6-2 win over Tamira Paszek on Tuesday.
Fourth-seeded Victoria Azarenka beat Tamira Paszek 6-3, 6-1 on Tuesday at Wimbledon to reach the semi-finals at a Grand Slam tournament for the first time.
Unseeded Austrian Tamira Paszek upset the odds as she beat former French Open champion Francesca Schiavone 3-6, 6-4, 11-9 in a gruelling third round match at Wimbledon on Saturday.