Francoeur, 29, has been with the Royals since 2011. He has hit .209/.250/.324 (57 OPS+) with three home runs in 58 games this year, and .254/.301/.414 (95 OPS+) with 39 homers in 359 total games with Kansas City. He has also played for the Braves, Mets and Rangers.
The Royals signed Francoeur to a two-year, $13.5-million contract extension prior to last season. He will earn $7.5 million total this year -- Kansas City is still on the hook for that money unless another team claims him off waivers, which is unlikely -- and was due to become a free agent this winter.
The Giants are rumored to be seeking a right-handed hitting outfielder and could be one suitor for Francoeur. The offense-starved Yankees could be another. Despite hitting just .229/.278/.365 (75 OPS+) these last two years, Francoeur seems likely to find another big-league job in short order.
Giavotella, 25, was hitting .289/.376/.425 with seven homers in 77 Triple-A games this year. He is a career .242/.271/.340 (67 OPS+) in 99 big league games.