Giménez was born in Trinidad in the department of Itapúa. He began playing in Paraguay for Libertad, Cerro Porteño and Sportivo Luqueño.[1]
In July 1976, Giménez signed for Racing Santander in Spain's La Liga.[2] He made his debut on 4 October in a 1–1 draw at Burgos and scored his first goal on 7 November as consolation in a 3–1 loss away to Real Sociedad. On 6 February, in only his seventh minute after coming on as a substitute for the injured Quinito, he was sent off in a 1–0 defeat at Sevilla for fouling opposing goalkeeper Paco Brenes [es].[3] He played 25 total games in his first season in Cantabria, scoring 7 goals including a hat-trick on 15 May in the last home fixture, a 3–2 home win over Málaga.[4]
Giménez scored 11 league goals in each of his next two seasons, including another haul of three on 5 November 1978 in a 3–2 win away to Español.[5]
In May 1979, Giménez left relegated Racing, signing a three-year deal at Valencia. The transfer fee was estimated at 40 million Spanish pesetas and an annual salary of 5 million.[6] Real Madrid president Luis de Carlos had wanted to sign him, but was informed of the news by the Royal Spanish Football Federation.[7]
Giménez took part in the Valencia side that won the UEFA Cup Winners' Cup in 1979–80, playing two early games against Denmark's B1903 and away to Rangers in Scotland.[8][9] On 25 November 1980 he played the first leg of the club's eventual UEFA Super Cup victory over Nottingham Forest, replacing Darío Felman for the last four minutes of a 2–1 loss in the first leg in England.[10]
Having taken no part with Valencia at the start of 1981–82, Giménez moved to Español, making his debut on 8 November in a 1–0 home win over Cádiz. He said that he wondered why Valencia had signed him in the first place.[11]
Giménez played 164 total games for the Pericos, scoring 51 goals. On 14 December 1983, he took the direct free kick that was the only goal of a Derbi Barceloní win against FC Barcelona at Sarrià Stadium.[12]
Giménez remained in Catalonia, signing for newly promoted Sabadell in 1986 among several compatriots.[13] He played 12 games in the league and Copa del Rey, split equally between starter and substitute, and scored a penalty on 17 September to win the game 2–1 in the first round of the cup away to Mollerussa.[14] At the end of the calendar year, he asked to leave the club.[15]
After playing futsal, 36-year-old Giménez returned to football in February 1988 at Barcelona-based UA Horta, in the fifth tier of Spanish football.[16] In 2001, he and another former player went to court claiming 360 million pesetas (€2.164 million) as intermediaries in the transfer of Javier Saviola from River Plate to Barcelona.[17] Their lawsuit was dismissed in April 2004.[18]